What is the solution for (d^2x)/(dt^2)-4(dx)/(dt)=4x ?

The solution for (d^2x)/(dt^2)-4(dx)/(dt)=4x is x=c_{1}e^{2(1+sqrt(2))t}+c_{2}e^{2(1-sqrt(2))t}

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(d^2x)/(dt^2)-4(dx)/(dt)=4x

\frac{d ^{2} x}{d t ^{2}} - 4 \frac{d x}{d t} = 4 x

x = c_{1} e^{2 (1 + 2) t} + c_{2} e^{2 (1 - 2) t}

Solution steps

\frac{d ^{2} x}{d t ^{2}} - 4 \frac{d x}{d t} = 4 x

Solve linear ODE:

x = c_{1} e^{2 (1 + 2) t} + c_{2} e^{2 (1 - 2) t}

x = c_{1} e^{2 (1 + 2) t} + c_{2} e^{2 (1 - 2) t}

\frac{d N}{d t} + N = Nt e^{t + 7}

\int_{- 1}^{0} (2 x - 1) d x

f^{^{''}} (x) = - f (x), f (0) = 0, f^{^{'}} (0) = 1

n = 1 \sum \infty e^{- 6 n} - e^{- 6 (n + 1)}

\int (4 x - 3) 5 d x

What is the solution for (d^2x)/(dt^2)-4(dx)/(dt)=4x ?
The solution for (d^2x)/(dt^2)-4(dx)/(dt)=4x is x=c_{1}e^{2(1+sqrt(2))t}+c_{2}e^{2(1-sqrt(2))t}