de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

x^{''}-3x^'-15.25x=e^t

Lösung

x^{^{''}} - 3 x^{^{'}} - 15.25 x = e^{t}

Lösung

x = c_{1} e^{\frac{( 3 + 70 ) t}{2}} + c_{2} e^{\frac{( 3 - 70 ) t}{2}} - \frac{4}{69} e^{t}

Schritte zur Lösung

x^{''} (t) - 3 x^{'} (t) - 15.25 x = e^{t}

Solve linear ODE:

x = c_{1} e^{\frac{( 3 + 70 ) t}{2}} + c_{2} e^{\frac{( 3 - 70 ) t}{2}} - \frac{4}{69} e^{t}

x = c_{1} e^{\frac{( 3 + 70 ) t}{2}} + c_{2} e^{\frac{( 3 - 70 ) t}{2}} - \frac{4}{69} e^{t}

Graph

Beliebte Beispiele

(D^2+3D+2)y=sin(e^x)

(D^{2} + 3 D + 2) y = sin (e^{x})

y^{'''}-2y^'+4y=e^xcos(x)+x^2

y^{^{'''}} - 2 y^{^{'}} + 4 y = e^{x} cos (x) + x^{2}

y^{''}+1000y^'+2500y=30

y^{^{''}} + 1000 y^{^{'}} + 2500 y = 30

y^{''}-3y^'-9y=4cos(2x)-5e^x

y^{^{''}} - 3 y^{^{'}} - 9 y = 4 cos (2 x) - 5 e^{x}

2y^{''}-5y^'-3y=1+2e^t+e^{2t}

2 y^{^{''}} - 5 y^{^{'}} - 3 y = 1 + 2 e^{t} + e^{2 t}