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Popular Calculus >

(dy)/(dx)=3y-x^2y

Solution

\frac{d y}{d x} = 3 y - x^{2} y

Solution

y = e^{3 x - \frac{x ^{3}}{3} + c_{1}}

Solution steps

\frac{d y}{d x} = 3 y - x^{2} y

Solve separable ODE:

y = e^{3 x - \frac{x ^{3}}{3} + c_{1}}

y = e^{3 x - \frac{x ^{3}}{3} + c_{1}}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)=3y-x^2y ?
The solution for (dy)/(dx)=3y-x^2y is y=e^{3x-(x^3)/3+c_{1}}