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Popular >

y^'=2y-3e^{-t}

Solution

y^{^{'}} = 2 y - 3 e^{- t}

Solution

y = \frac{1}{e ^{t}} + c_{1} e^{2 t}

Solution steps

y^{'} (t) = 2 y - 3 e^{- t}

Solve linear ODE:

y = \frac{1}{e ^{t}} + c_{1} e^{2 t}

y = \frac{1}{e ^{t}} + c_{1} e^{2 t}

Graph

Popular Examples

limit as x approaches 0 of sin(2/x)

x \to 0 lim (sin (\frac{2}{x}))

tangent of f(x)=2x+sqrt(x)tangent of

f (x) = 2 x + x

(dy)/(dx)+3y=18

\frac{d y}{d x} + 3 y = 18

integral of 1/((x^2+6x+6)^2)

\int \frac{1}{( x ^{2} + 6 x + 6 ) ^{2}} d x

integral of 1/(xsqrt(5-x^2))

\int \frac{1}{x 5 - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for y^'=2y-3e^{-t} ?
The solution for y^'=2y-3e^{-t} is y= 1/(e^t)+c_{1}e^{2t}