What is the solution for y^{''}+y=3sec(t) ?

The solution for y^{''}+y=3sec(t) is y=c_{1}cos(t)+c_{2}sin(t)+3ln(cos(t))cos(t)+3tsin(t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^{''}+y=3sec(t)

y^{^{''}} + y = 3 sec (t)

y = c_{1} cos (t) + c_{2} sin (t) + 3 ln (cos (t)) cos (t) + 3 t sin (t)

Solution steps

y^{''} (t) + y = 3 sec (t)

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + 3 ln (cos (t)) cos (t) + 3 t sin (t)

y = c_{1} cos (t) + c_{2} sin (t) + 3 ln (cos (t)) cos (t) + 3 t sin (t)

- y^{^{''}} - 8 y^{^{'}} + 20 y = 100 x^{2} - 26 x e^{x}

y^{^{''}} - 2 y^{^{'}} + y = e^{- x} + x e^{- x}

y^{^{''}} - 2 y^{^{'}} + y = e^{3 x} - e^{2 x}

y^{^{''}} + 6 y^{^{'}} + 8 y = e^{3 x} - sin (x)

y^{^{''}} + 10 y^{^{'}} + 41 y = t e^{- 5 t} sin (4 t)

What is the solution for y^{''}+y=3sec(t) ?
The solution for y^{''}+y=3sec(t) is y=c_{1}cos(t)+c_{2}sin(t)+3ln(cos(t))cos(t)+3tsin(t)