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Popular >

xy^'-x-x^2-3y=0

Solution

x y^{^{'}} - x - x^{2} - 3 y = 0

Solution

y = - x^{2} - \frac{x}{2} + c_{1} x^{3}

Solution steps

x y^{'} (x) - x - x^{2} - 3 y = 0

Solve linear ODE:

y = - x^{2} - \frac{x}{2} + c_{1} x^{3}

y = - x^{2} - \frac{x}{2} + c_{1} x^{3}

Popular Examples

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(\partial)/(\partial y)(x+ysin(t))

\frac{\partial}{\partial y} (x + y sin (t))

integral from 0 to pi of sin^2(xco)s^4x

\int_{0}^{π} sin^{2} (x co) s^{4} x d x

integral of (sec^2(x)+2)

\int (sec^{2} (x) + 2) d x

Frequently Asked Questions (FAQ)

What is the solution for xy^'-x-x^2-3y=0 ?
The solution for xy^'-x-x^2-3y=0 is y=-x^2-x/2+c_{1}x^3