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Popular >

(dy)/(dt)+y=7t

Solution

\frac{d y}{d t} + y = 7 t

Solution

y = 7 (t - 1) + \frac{c _{1}}{e ^{t}}

Solution steps

\frac{d y}{d t} + y = 7 t

Solve linear ODE:

y = 7 (t - 1) + \frac{c _{1}}{e ^{t}}

y = 7 (t - 1) + \frac{c _{1}}{e ^{t}}

Popular Examples

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\frac{d}{d x} (8 x^{3} - cos (4 x))

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\int x + \frac{1}{x} - 7 d x

derivative of e^{-x}cos(y-e^{-y}cos(x))

\frac{d}{d x} (e^{- x} cos (y) - e^{- y} cos (x))

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)+y=7t ?
The solution for (dy)/(dt)+y=7t is y=7(t-1)+(c_{1})/(e^t)