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}

\frac{\partial}{\partial x} (2 x^{2} + y^{2} - 9 y)

2 y^{^{''}} + 7 y^{^{'}} + 5 y = 0

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

x \to 2 lim (3 x + 6)

\int (x^{2} + 1) (x^{3} + 3 x) d x

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