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Popular >

y^'+3x^2y=10x^2

Solution

y^{^{'}} + 3 x^{2} y = 10 x^{2}

Solution

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{10}{3}

Solution steps

y^{'} (x) + 3 x^{2} y = 10 x^{2}

Solve separable ODE:

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{10}{3}

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{10}{3}

Popular Examples

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\frac{d}{d x} ((x^{2} - x) e^{- x})

limit as x approaches 0 of sin^2(3x)

x \to 0 lim (sin^{2} (3 x))

(\partial)/(\partial x)(x^2y-y^2-2x^2)

\frac{\partial}{\partial x} (x^{2} y - y^{2} - 2 x^{2})

Frequently Asked Questions (FAQ)

What is the solution for y^'+3x^2y=10x^2 ?
The solution for y^'+3x^2y=10x^2 is y=(e^{-x^3+c_{1}})/3+10/3