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Popular >

y^'+3y=15-e^t

Solution

y^{^{'}} + 3 y = 15 - e^{t}

Solution

y = 5 - \frac{e ^{t}}{4} + \frac{c _{1}}{e ^{3 t}}

Solution steps

y^{'} (t) + 3 y = 15 - e^{t}

Solve linear ODE:

y = 5 - \frac{e ^{t}}{4} + \frac{c _{1}}{e ^{3 t}}

y = 5 - \frac{e ^{t}}{4} + \frac{c _{1}}{e ^{3 t}}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for y^'+3y=15-e^t ?
The solution for y^'+3y=15-e^t is y=5-(e^t)/4+(c_{1})/(e^{3t)}