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Popular >

(dy)/(dx)-y/x =5xe^x

Solution

\frac{d y}{d x} - \frac{y}{x} = 5 x e^{x}

Solution

y = 5 e^{x} x + c_{1} x

Solution steps

\frac{d y}{d x} - \frac{y}{x} = 5 x e^{x}

Solve linear ODE:

y = 5 e^{x} x + c_{1} x

y = 5 e^{x} x + c_{1} x

Popular Examples

integral of 2/(-sin(t)+1)

\int \frac{2}{- sin ( t ) + 1} d t

derivative of 1/(log_{e(x)})

\frac{d}{d x} (\frac{1}{lo g _{e} ( x )})

(dy)/(dx)+3y=e^{(-5x)}

\frac{d y}{d x} + 3 y = e^{(- 5 x)}

integral of (3x^3)/(x^3-4x)

\int \frac{3 x ^{3}}{x ^{3} - 4 x} d x

maclaurin (6n-1)(-2x)^n maclaurin

(6 n - 1) (- 2 x)^{n}

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)-y/x =5xe^x ?
The solution for (dy)/(dx)-y/x =5xe^x is y=5e^xx+c_{1}x