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Popular Calculus >

y^'-y/x =x

Solution

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

Solution

y = x^{2} + c_{1} x

Solution steps

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

Solve linear ODE:

y = x^{2} + c_{1} x

y = x^{2} + c_{1} x

Graph

Popular Examples

derivative of-5e^{-x}

\frac{d}{d x} (- 5 e^{- x})

integral of 1/(sqrt(8x+1))

\int \frac{1}{8 x + 1} d x

integral of (5x^2-x-3)/(x^2(x+1))

\int \frac{5 x ^{2} - x - 3}{x ^{2} ( x + 1 )} d x

integral of ((cos(2x)-1))/(cos(2x)+1)

\int \frac{( cos ( 2 x ) - 1 )}{cos ( 2 x ) + 1} d x

\int x y d x

Frequently Asked Questions (FAQ)

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