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Popular >

(dy)/(dt)+e^ty=e^t

Solution

\frac{d y}{d t} + e^{t} y = e^{t}

Solution

y = - e^{- e^{t} - c_{1}} + 1

Solution steps

\frac{d y}{d t} + e^{t} y = e^{t}

Solve separable ODE:

y = - e^{- e^{t} - c_{1}} + 1

y = - e^{- e^{t} - c_{1}} + 1

Popular Examples

(d^2y)/(dx^2)-4(dy)/(dx)+2y=0

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 2 y = 0

limit as x approaches-(7pi)/2-of sec(x)

x \to - \frac{7 π}{2} - lim (sec (x))

(dy)/(dx)=9-y/(6x+250)

\frac{d y}{d x} = 9 - \frac{y}{6 x + 250}

tangent of f(x)=x^4+2x^2-x,\at x=1 tangent of

f (x) = x^{4} + 2 x^{2} - x, at x = 1

x^{2} y^{^{'}} + x y = 5

Frequently Asked Questions (FAQ)

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