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Popular >

(dx)/(dt)+e^tx=e^t

Solution

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

Solution

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

Solution steps

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

Solve separable ODE:

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

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

Popular Examples

y(1-x)dx+x^2(1-y)dy=0

y (1 - x) d x + x^{2} (1 - y) d y = 0

(dy)/(dx)=2sqrt(y+1)cos(x),y(pi)=0

\frac{d y}{d x} = 2 y + 1 cos (x), y (π) = 0

\frac{d x}{d t} = k x

(dy)/(dx)=y^2cos(x)

\frac{d y}{d x} = y^{2} cos (x)

2(dy)/(dx)=3x^2(y^2-1)

2 \frac{d y}{d x} = 3 x^{2} (y^{2} - 1)

Frequently Asked Questions (FAQ)

What is the solution for (dx)/(dt)+e^tx=e^t ?
The solution for (dx)/(dt)+e^tx=e^t is x=-e^{-e^t-c_{1}}+1