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Popular >

(dy)/(dt)=y-3e^{-t}

Solution

\frac{d y}{d t} = y - 3 e^{- t}

Solution

y = \frac{3}{2 e ^{t}} + c_{1} e^{t}

Solution steps

\frac{d y}{d t} = y - 3 e^{- t}

Solve linear ODE:

y = \frac{3}{2 e ^{t}} + c_{1} e^{t}

y = \frac{3}{2 e ^{t}} + c_{1} e^{t}

Popular Examples

(dy)/(dx)=e^{2x+3y}

\frac{d y}{d x} = e^{2 x + 3 y}

derivative of 1/6 \sqrt[5]{(6-5x^2^7})

integral of x/(\sqrt[3]{x-1)}

(\partial)/(\partial x)(4xy-2x^2y)

\frac{\partial}{\partial x} (4 x y - 2 x^{2} y)

integral of xe^{-1/10 x^2}

\int x e^{- \frac{1}{10} x^{2}} d x

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dt)=y-3e^{-t} ?
The solution for (dy)/(dt)=y-3e^{-t} is y= 3/(2e^t)+c_{1}e^t