If y√(x2 1) = log(√(x2 1) x), then (x2 1)dy/dx xy 1 is equal to (A) 0 (B) 1 2 (D) None of these Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queriesVerify that x^2 cy^2 = 1 is an implicit solution to \frac {dy} {dx} = \frac {xy} {x^2 1} If you're assuming the solution is defined and differentiable for x=0, then one necessarily has y (0)=0 In this case, one can easily identify two trivial solutions, y=x and y=x If you're assuming the solution is defined andAnswer to Find dy/dx, given y = (x^2 1)^5 x/(x^2 1)^5 (x^5 x)^19 (x^4 1)^5(x^5 1)^4 By signing up, you'll get thousands of Rules of Derivatives (1) Power rule The power rule of
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Verify that y = log (x √(x^2 a^2)^2 is a solution of the differential equation (a^2 x^2)d^2 y/dx^2 x(dy/dx) = 0 asked May 10 in Differential Equations by Yajna ( 299k points) differential equationsIn this case it's the x^2) I have to browse my college notes first lol d^2y/dx^2 3(dy/dx) 2y = x^2Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more
Share It On Facebook Twitter Email 1 Answer 0 votes answered by rubby (5k points) selected by Vikash Kumar Best answer Given differential equation is ← PrevY=(x1)(x2)/x^1/2 = (x^23x2)/x^1/2 dy/dx=√x(2x3)1/2√x(x^23x2)/(√x)^2 dy/dx =2x(2x3)(x^23x2)/2x√xx dy/dx =4x^2–6xx^23x2/2x√x dy/dxSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more
To ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW The solution of `xsqrt(1y^2)dxysqrt(1x^2)dy=0`Simple and best practice solution for (2xy)dx(x^21)dy=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve it Multiply by √ (1 x 2) x × dy/dx (1 x 2) d 2 y/dx 2 = n (dy/dx)√ (1 x 2) x× dy/dx (1 x 2) d 2 y/dx 2 = n ny (from (i)) (1 x 2 )d 2 y/dx 2 x dy/dx = n 2 y Hence option (1



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//googl/JQ8NysSolve the Linear Differential Equation (x^2 1)dy/dx xy = xSee the answer ICalculus Find dy/dx y^22x=12y y2 − 2x = 1 − 2y y 2 2 x = 1 2 y Differentiate both sides of the equation d dx (y2 −2x) = d dx(1 −2y) d d x ( y 2 2 x) = d d x ( 1 2 y) Differentiate the left side of the equation Tap for more steps



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See the answer Solve the given differential equation Show transcribed image text Expert Answer Previous question Next questionRewrite 2xy dxx2 dy−1 dy = 0 2 x y d x x 2 d y − 1 d y = 0 Change the sides $$2 xy \ dx x^2 \ dy = 1 \ See full answer below(b) 2 x y dx ( y 2 x 2) dy = 0 Here, M = 2 x y, M y = 2x, N = y 2 x 2, and N x = 2 xNow, ( N x M y) / M = ( 2 x 2 x ) / ( 2 x y) = 2 / yThus, μ = exp ( ∫ 2 dy / y ) = y2 is an integrating factor The transformed equation is ( 2 x / y ) dx ( 1 x 2 y2) dy = 0 Let m = 2 x / y, and n = 1 x 2 y2Then, m y = 2 x y2 = n x, and the new differential equation is exact



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Solve the following differential equation (1 x 2)dy 2xydx = cotx dx ;Please Subscribe here, thank you!!!(a) 3x^2 d^y/dx^2 11x dy/dx 3y = 0 (b) x^2 d^2y/dx^2 x dy/dx 5y = 0 Verify that the function phi(x) = c_1 e^x c_2 e^2x is a solution to the linear equation d^2y/dx^2 dy/dx 2y = 0 for any choice of the constants c_1 and c_2 Determine c_1 and c_2 so that each of the following initial conditions is satisfied



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Simple and best practice solution for (x^2)dxy(x1)dy=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve itTo ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW `x(1y^2)dxy(1x^2) dy=0`This is the Solution of Question From RD SHARMA book of CLASS 12 CHAPTER DIFFERENTIAL EQUATIONS This Question is also available in R S AGGARWAL book of CLASS



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Homework Statement rewrite the equation in the form of linear equation Then solve it (1x^2)dy/dx xy = 1/ (1x^2) the ans given is y= x/ (1x^2) C / ( sqrt rt (1x^2) ) , my ans is different , which part is wrong ?This is a linear first order differential equation It has a simple procedure to solve for mathy(x)/math math(x^2 1) \frac{dy}{dx} 4xy = x/math Put it in standard form so that the coefficient of math\frac{dy}{dx}/math is one DiviCalculus Find dy/dx y^2=1/ (1x^2) y2 = 1 1 − x2 y 2 = 1 1 x 2 Differentiate both sides of the equation d dx (y2) = d dx ( 1 1−x2) d d x ( y 2) = d d x ( 1 1 x 2) Differentiate the left side of the equation Tap for more steps



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Click here👆to get an answer to your question ️ Solve the differential equation x(1 y^2)dx y(1 x^2)dy = 0Calculus Find dy/dx y= (x1)/ (x2) y = x 1 x 2 y = x 1 x 2 Differentiate both sides of the equation d dx (y) = d dx ( x 1 x 2) d d x ( y) = d d x ( x 1 x 2) The derivative of y y with respect to x x is y' y ′ y' y ′ Differentiate the right side of the equation Tap for more stepsSorry, but I didn't had time to type those math\displaystyle \LaTeX/math , so wrote on paper and snapped its picture p > The solution could be very short, but



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Solution for Solve (x^2 1)(dy/dx) 2xy = p(x^2);Click here👆to get an answer to your question ️ If √(1 x^2) √(1 y^2) = a(x y) then prove that dy/dx = √(1 y^2/1 x^2) Join / Login > 12th > Maths > Differential Equations > Formation of Differential Equation 2 1 − x 2 1 (− 2 x) 1 − y 2Dy/dx P(x)y=Q(x) So we compute and integrating factor, I, using;



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X ≠ 0 cbse;The issue is that you integrated y with respect to x, and concluded that it was equal to y This is only viable if y = aex for some constant a, which we have no reason to suspect Solve y ^2x (\frac {dy} {dx})^2 = 1 using proposed change of variables Solve y2 −x(dxdy )2 = 1 using proposed change of variables 1 1 y dy dx = x2 ∫ 1 1 y dy dx dx = ∫ x2 dx ∫ 1 1 y dy = ∫ x2 dx ln(1 y) = x3 3 C 1 y = ex3 3 C = ex3 3 eC = Cex3 3 y = Cex3 3 −1 Applying the IV 3 = Ce0 −1 = C −1 ⇒ C = 4 y = 4ex3 3 −1



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Y(q) = r given, p =7, q=3, r=7 Q The new bookcase for your future dorm room has the dimensions of 24 in wide by 12 in deep by 36 in A Width of the bookcase=25 inch Depth of the bookcase=12 inch y = x^2(1 e^( 1/x1 )) We have dy/dx (12x)/x^2y = 1 and y(1)=0 We can use an integrating factor when we have a First Order Linear nonhomogeneous Ordinary Differential Equation of the form;Solve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and more



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Answer to Solve the following \\\\ (x^2 1)\\dfrac{dy}{dx} xy = x By signing up, you'll get thousands of stepbystep solutions to your homeworkLearn how to solve differential equations problems step by step online Solve the differential equation dx/dy=(x^2y^2)/(1x) Group the terms of the differential equation Move the terms of the x variable to the left side, and the terms of the y variable to the right side Simplify the expression \frac{1x}{x^2}dx Simplify the fraction by xRaise x x to the power of 1 1 Use the power rule a m a n = a m n a m a n = a m n to combine exponents Add 1 1 and 3 3 Move 2 2 to the left of x4 x 4 Differentiate using the Power Rule which states that d dx xn d d x x n is nxn−1 n x n 1 where n = 3 n = 3



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