de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+4y^'-2y=2t^2-3t+6

Lösung

y^{^{''}} + 4 y^{^{'}} - 2 y = 2 t^{2} - 3 t + 6

Lösung

y = c_{1} e^{(- 2 + 6) t} + c_{2} e^{(- 2 - 6) t} - t^{2} - \frac{5 t}{2} - 9

Schritte zur Lösung

y^{''} (t) + 4 y^{'} (t) - 2 y = 2 t^{2} - 3 t + 6

Solve linear ODE:

y = c_{1} e^{(- 2 + 6) t} + c_{2} e^{(- 2 - 6) t} - t^{2} - \frac{5 t}{2} - 9

y = c_{1} e^{(- 2 + 6) t} + c_{2} e^{(- 2 - 6) t} - t^{2} - \frac{5 t}{2} - 9

Graph

Beliebte Beispiele

y^{'''}-y^'=csc(t)

y^{^{'''}} - y^{^{'}} = csc (t)

y^{'''}+4y^'=sin(x)cos(x)

y^{^{'''}} + 4 y^{^{'}} = sin (x) cos (x)

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

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

y^{''}+25y=9sec(5x)

y^{^{''}} + 25 y = 9 sec (5 x)

(d^2y)/(dx^2)-4(dy)/(dx)+4y=e^{2x}

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 4 y = e^{2 x}