Check if the given ODE is separable or exact and solve by an appropriate method (whichever is easier) a. $\frac{dy}{dx} = \frac{2x}{(y+x^2y)}$ b. $(9x^2+y-1)-(4y-x)\frac{dy}{dx} = 0$
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To check if the given ODE is separable or exact, we need to see if it can be written in the form M(x)dx + N(y)dy = 0, where M(x) and N(y) are functions of x and y respectively. In this case, the given ODE is dy/dx = 2x/(y + x^2y). We can rewrite it as (y + Show more…
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