Question

29. Solve the following differential equation :
${x}^{2} \frac{dy}{dx} = {y}^{2} + 2yx$

Given that y = 1, when x = 1.

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Answer 1

Explanation:

(1)Let R (x,y) = y and S (x,y) = 2x. ... $$y+\left( 10{ y }^{ 3 }+2x \right) \cfrac { dy }{ dx } =0$$ ... (1) Let $$R\left( x,y \right) =y$$ ... Then the solution will be given by $$f ...