de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-y^'-20y=-56t+40t^2

Lösung

y^{^{''}} - y^{^{'}} - 20 y = - 56 t + 40 t^{2}

Lösung

y = c_{1} e^{5 t} + c_{2} e^{- 4 t} - 2 t^{2} + 3 t - \frac{7}{20}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) - 20 y = - 56 t + 40 t^{2}

Solve linear ODE:

y = c_{1} e^{5 t} + c_{2} e^{- 4 t} - 2 t^{2} + 3 t - \frac{7}{20}

y = c_{1} e^{5 t} + c_{2} e^{- 4 t} - 2 t^{2} + 3 t - \frac{7}{20}

Graph

Beliebte Beispiele

y^{''}+y^'=e^{2x}sin(x)

y^{^{''}} + y^{^{'}} = e^{2 x} sin (x)

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

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

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

y^{''}+4y^'=x^2+3x+4

y^{^{''}} + 4 y^{^{'}} = x^{2} + 3 x + 4

(d^2y)/(dx^2)-1/5 (dy)/(dx)+3/400 =0

\frac{d ^{2} y}{d x ^{2}} - \frac{1}{5} \frac{d y}{d x} + \frac{3}{400} = 0