What is the solution for (dx)/(dt)(1)-x=e^{2t} ?

The solution for (dx)/(dt)(1)-x=e^{2t} is x=e^{2t}+c_{1}e^t

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(dx)/(dt)(1)-x=e^{2t}

\frac{d x}{d t} (1) - x = e^{2 t}

x = e^{2 t} + c_{1} e^{t}

Solution steps

\frac{d x}{d t} (1) - x = e^{2 t}

Solve linear ODE:

x = e^{2 t} + c_{1} e^{t}

x = e^{2 t} + c_{1} e^{t}

\int_{3}^{5} (- x^{2} + 8 x - 12) d x

x \to 2 lim (3 x + 6)

n = 1 \sum \infty \frac{1}{n ^{\frac{3}{2}}}

in v erse l a pl a ce \frac{s + 1}{s ^{2} - 5 s + 6}

\frac{\partial}{\partial x} (- x (x^{2} + y^{2} + z^{2})^{- \frac{3}{2}})

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