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Popular >

y^'+5x^4y=x^4

Solution

y^{^{'}} + 5 x^{4} y = x^{4}

Solution

y = \frac{e ^{- x^{5} + c_{1}}}{5} + \frac{1}{5}

Solution steps

y^{'} (x) + 5 x^{4} y = x^{4}

Solve separable ODE:

y = \frac{e ^{- x^{5} + c_{1}}}{5} + \frac{1}{5}

y = \frac{e ^{- x^{5} + c_{1}}}{5} + \frac{1}{5}

Popular Examples

integral of y/(sqrt(x^2+y^2))

\int \frac{y}{x ^{2} + y ^{2}} d y

(\partial)/(\partial x)(xy^2-yx^3)

\frac{\partial}{\partial x} (x y^{2} - y x^{3})

derivative of 1+40x^3-3x^5

\frac{d}{d x} (1 + 40 x^{3} - 3 x^{5})

limit as x approaches 2 of 1680x^3-120x

x \to 2 lim (1680 x^{3} - 120 x)

integral of (2x-5)/(x^2+2x+2)

\int \frac{2 x - 5}{x ^{2} + 2 x + 2} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'+5x^4y=x^4 ?
The solution for y^'+5x^4y=x^4 is y=(e^{-x^5+c_{1}})/5+1/5