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Popular >

(dy)/(dx)-y/x =7xe^x

Solution

\frac{d y}{d x} - \frac{y}{x} = 7 x e^{x}

Solution

y = 7 e^{x} x + c_{1} x

Solution steps

\frac{d y}{d x} - \frac{y}{x} = 7 x e^{x}

Solve linear ODE:

y = 7 e^{x} x + c_{1} x

y = 7 e^{x} x + c_{1} x

Popular Examples

integral from 1 to 36 of 1/(2x)

\int_{1}^{36} \frac{1}{2 x} d x

limit as x approaches-5 of 3x+2

x \to - 5 lim (3 x + 2)

integral of x^3sqrt(81+x^2)

\int x^{3} 81 + x^{2} d x

(\partial)/(\partial x)(e^{-x/(2y)})

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

limit as x approaches 0 of 4/(14+x)

x \to 0 lim (\frac{4}{14 + x})

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)-y/x =7xe^x ?
The solution for (dy)/(dx)-y/x =7xe^x is y=7e^xx+c_{1}x