de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''''}+2y^{''}+y=7+cos(6t)

Lösung

y^{^{''''}} + 2 y^{^{''}} + y = 7 + cos (6 t)

Lösung

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 7 + \frac{1}{1225} cos (6 t)

Schritte zur Lösung

y^{(4)} (t) + 2 y^{''} (t) + y = 7 + cos (6 t)

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 7 + \frac{1}{1225} cos (6 t)

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 7 + \frac{1}{1225} cos (6 t)

Graph

Beliebte Beispiele

y^{''}+2y^'+y=cosh(x)

y^{^{''}} + 2 y^{^{'}} + y = cosh (x)

y^{''}-2y^'-15y=3e^{2t}

y^{^{''}} - 2 y^{^{'}} - 15 y = 3 e^{2 t}

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

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

y^{'''}+y^{''}+y^'+y=e^{-t}+2t

y^{^{'''}} + y^{^{''}} + y^{^{'}} + y = e^{- t} + 2 t

y^{''}+36y=-12sin(6t)

y^{^{''}} + 36 y = - 12 sin (6 t)