What is the solution for (d^2x)/(dt^2)-6(dx)/(dt)-7x=6 ?

The solution for (d^2x)/(dt^2)-6(dx)/(dt)-7x=6 is x=c_{1}e^{7t}+c_{2}e^{-t}-6/7

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(d^2x)/(dt^2)-6(dx)/(dt)-7x=6

\frac{d ^{2} x}{d t ^{2}} - 6 \frac{d x}{d t} - 7 x = 6

x = c_{1} e^{7 t} + c_{2} e^{- t} - \frac{6}{7}

Solution steps

\frac{d ^{2} x}{d t ^{2}} - 6 \frac{d x}{d t} - 7 x = 6

Solve linear ODE:

x = c_{1} e^{7 t} + c_{2} e^{- t} - \frac{6}{7}

x = c_{1} e^{7 t} + c_{2} e^{- t} - \frac{6}{7}

\frac{1}{6} y^{^{''}} + 6 y = 2 tan (6 t) - \frac{1}{3} e^{t}

y^{^{''}} - y^{^{'}} - 2 y = e^{x} cos (x)

y^{^{''}} + 4 y = \frac{t}{2} - \frac{t cos ( 2 t )}{2}

y^{^{''}} - 7 y^{^{'}} - 8 y = 8 x^{2} - 2 x

x^{^{''}} + 4 x^{^{'}} + 16 x = 4 sin (2 t)

What is the solution for (d^2x)/(dt^2)-6(dx)/(dt)-7x=6 ?
The solution for (d^2x)/(dt^2)-6(dx)/(dt)-7x=6 is x=c_{1}e^{7t}+c_{2}e^{-t}-6/7