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Popular >

(dy)/(dx)-y/x =xe^x

Solution

\frac{d y}{d x} - \frac{y}{x} = x e^{x}

Solution

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

Solution steps

\frac{d y}{d x} - \frac{y}{x} = x e^{x}

Solve linear ODE:

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

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

Popular Examples

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

\int \frac{x ^{2}}{x ^{2} - x + 1} d x

derivative of A*e^x

\frac{d}{d x} (A \cdot e^{x})

derivative of f(x)=(x^5)/5-(4x^3)/3+4x derivative of

f (x) = \frac{x ^{5}}{5} - \frac{4 x ^{3}}{3} + 4 x

tangent of f(x)=7e^{-0.03x},\at x=9 tangent of

f (x) = 7 e^{- 0.03 x}, at x = 9

derivative of y=((3x-9))/((2x+8))derivative of

y = \frac{( 3 x - 9 )}{( 2 x + 8 )}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)-y/x =xe^x ?
The solution for (dy)/(dx)-y/x =xe^x is y=e^xx+c_{1}x