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Popular >

y^'+3y=e^{5t}

Solution

y^{^{'}} + 3 y = e^{5 t}

Solution

y = \frac{e ^{5 t}}{8} + \frac{c _{1}}{e ^{3 t}}

Solution steps

y^{'} (t) + 3 y = e^{5 t}

Solve linear ODE:

y = \frac{e ^{5 t}}{8} + \frac{c _{1}}{e ^{3 t}}

y = \frac{e ^{5 t}}{8} + \frac{c _{1}}{e ^{3 t}}

Popular Examples

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x \to - 2 lim (- \frac{x ^{2} - 4}{x + 2})

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\int x e^{m x} d x

limit as x approaches 0 of (e^{5x}-1)/x

x \to 0 lim (\frac{e ^{5 x} - 1}{x})

integral of cos(5x)sin(x)sin(8x)

\int cos (5 x) sin (x) sin (8 x) d x

(dy)/(dx)=(xcos(x^2))/(4y)

\frac{d y}{d x} = \frac{x cos ( x ^{2} )}{4 y}

Frequently Asked Questions (FAQ)

What is the solution for y^'+3y=e^{5t} ?
The solution for y^'+3y=e^{5t} is y=(e^{5t})/8+(c_{1})/(e^{3t)}