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Popular >

y^'+2y=2t

Solution

y^{^{'}} + 2 y = 2 t

Solution

y = t - \frac{1}{2} + \frac{c _{1}}{e ^{2 t}}

Solution steps

y^{'} (t) + 2 y = 2 t

Solve linear ODE:

y = t - \frac{1}{2} + \frac{c _{1}}{e ^{2 t}}

y = t - \frac{1}{2} + \frac{c _{1}}{e ^{2 t}}

Popular Examples

integral of 2x+7e^x

\int 2 x + 7 e^{x} d x

limit as x approaches 2 of x

x \to 2 lim (x)

derivative of (10x-2x^2(16-2x))

\frac{d}{d x} ((10 x - 2 x^{2}) (16 - 2 x))

y^{^{'}} + 2 x y^{2} = 0

integral of pi/(1.2-2x)

\int \frac{π}{1.2 - 2 x} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'+2y=2t ?
The solution for y^'+2y=2t is y=t-1/2+(c_{1})/(e^{2t)}