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Popular >

xy^'+2y=x^3-4

Solution

x y^{^{'}} + 2 y = x^{3} - 4

Solution

y = \frac{x ^{3}}{5} - 2 + \frac{c _{1}}{x ^{2}}

Solution steps

x y^{'} (x) + 2 y = x^{3} - 4

Solve linear ODE:

y = \frac{x ^{3}}{5} - 2 + \frac{c _{1}}{x ^{2}}

y = \frac{x ^{3}}{5} - 2 + \frac{c _{1}}{x ^{2}}

Popular Examples

integral from 4 to infinity of 7e^{-x/2}

\int_{4}^{\infty} 7 e^{- \frac{x}{2}} d x

derivative of 4^{-x^2}

\frac{d}{d x} (4^{- x^{2}})

derivative of sqrt(4cos(2x))

\frac{d}{d x} (4 cos (2 x))

derivative of x^2(x-y^2)=x^2-y^2

\frac{d}{d x} (x^{2} (x - y)^{2}) = x^{2} - y^{2}

(\frac{1}{3 x})^{^{'}}

Frequently Asked Questions (FAQ)

What is the solution for xy^'+2y=x^3-4 ?
The solution for xy^'+2y=x^3-4 is y=(x^3)/5-2+(c_{1})/(x^2)