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Popular >

y^'+y/x =x^{-4}

Solution

y^{^{'}} + \frac{y}{x} = x^{- 4}

Solution

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

Solution steps

y^{'} (x) + \frac{y}{x} = x^{- 4}

Solve linear ODE:

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

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

Popular Examples

derivative of s(t)=14+15sin(14pit)derivative of

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(x^2-2xy)dx+xdy=0

(x^{2} - 2 x y) d x + x d y = 0

laplacetransform sin^2(pit)laplace transform

sin^{2} (π t)

integral of sin(pi/2)

\int sin (\frac{π}{2}) d x

integral of cot^5(x)*csc^3(x)

\int cot^{5} (x) \cdot csc^{3} (x) d x

Frequently Asked Questions (FAQ)

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