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Popular Calculus >

y^'+6y=e^t

Solution

y^{^{'}} + 6 y = e^{t}

Solution

y = \frac{e ^{t}}{7} + \frac{c _{1}}{e ^{6 t}}

Solution steps

y^{'} (t) + 6 y = e^{t}

Solve linear ODE:

y = \frac{e ^{t}}{7} + \frac{c _{1}}{e ^{6 t}}

y = \frac{e ^{t}}{7} + \frac{c _{1}}{e ^{6 t}}

Graph

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Frequently Asked Questions (FAQ)

What is the solution for y^'+6y=e^t ?
The solution for y^'+6y=e^t is y=(e^t)/7+(c_{1})/(e^{6t)}