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Popular >

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

Solution

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

Solution

y = - \frac{e ^{x}}{4} + c_{1} e^{5 x}

Solution steps

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

Solve linear ODE:

y = - \frac{e ^{x}}{4} + c_{1} e^{5 x}

y = - \frac{e ^{x}}{4} + c_{1} e^{5 x}

Popular Examples

limit as x approaches 0 of (cos(5x)-1)/(sin(9x))

x \to 0 lim (\frac{cos ( 5 x ) - 1}{sin ( 9 x )})

(dy)/(dx)=(2-e^x)/(3+2y)

\frac{d y}{d x} = \frac{2 - e ^{x}}{3 + 2 y}

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(8 x + 7)^{2}

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n = 1 \sum \infty \frac{ln ( n )}{8 n}

integral of x^2sqrt(x^3+8)

\int x^{2} x^{3} + 8 d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)-5y=e^x ?
The solution for (dy)/(dx)-5y=e^x is y=-(e^x)/4+c_{1}e^{5x}