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Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this siteSolve the given initialvalue problem (y² cos(x) 3x²y 6x) dx (2y sin(x) − x³ In(y)) dy = 0, y(0) = e Question 243 Transcribed Image Text Solve the given initialvalue problem (y² cos(x) 3x²y 6x) dx (2y sin(x) − x³ In(y)) dy = 0, y(0) =
(x^2 y^2 1)dx x(x-2y)dy=0
(x^2 y^2 1)dx x(x-2y)dy=0- dy/dx=1x2y2x2y2, given that y=1 when x=0 Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to getLearn how to solve differential equations problems step by step online Solve the differential equation xdy/dxy=x^2y^2 Rewrite the differential equation in standard form Simplify the fraction \frac{x^2y^2}{x} by x We identify that the differential equation \frac{dy}{dx}\frac{y}{x}=xy^2 is a Bernoulli differential equation since it's of the form \frac{dy}{dx}P(x)y=Q(x)y^n, where n is any
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Sol Given (x^2 2y^2)dx xy dy =0 Or xy dy =(2y^2 x^2 )dx Or dy/dx =(2y/x x/y ) (1) Put y=v x dy/dx = v x dv/dx From (1) v x dv/dx = 2v 1/v x dv/dx = v 1/v x dv/dx = (v^21 Inform you about time table of exam 2 Inform you about new question papers 3 New video tutorials information2xydx (y23x2)dy=0 Geometric figure Two Straight Lines Slope = 1 xintercept = 0/1 = yintercept = 0/1 = Slope = 00/00 = 1000 xintercept = 0/1 = More Items Copied to clipboard
The given Equation is an exact differential equation Solution is given by ∫ M d x ∫ ( T e r m s i n N n o t c o n t a i n i n g x) d y = c y=constant ∫ ( 1 y − 2 x) d x ∫ 3 y d y = c x y − 2 log x 3 log y = c ADD COMMENT EDIT Please log in to add an answerTo ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW `(1x^2) dy/dxxy=1` 1 Answer Sorted by 0 Use the method of separation of variables if x ≠ 0 and y ≠ 0 (note that y = 0 is a stationary solution) then x = − ( 1 y 2) y 3 ⋅ y ′ = ( − 1 y 3 − 1 y) ⋅ y ′ which implies that x 2 2 = ∫ x d x = ∫ ( − 1 y 3 − 1 y) d y = 1 2 y 2 −
(x^2 y^2 1)dx x(x-2y)dy=0のギャラリー
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Q Compute dy / dx and d2y / dx2 x 2 4y 2 = 8 A The differentiation is a process of finding the rate of change of one variable with respect to Q Solve for particular solutionAsked in CALCULUS by anonymous differentialequations;
