de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-6y^'+9y=t,y(0)=0,y^'(0)=1

Lösung

y^{^{''}} - 6 y^{^{'}} + 9 y = t, y (0) = 0, y^{^{'}} (0) = 1

Lösung

y = - \frac{2}{27} e^{3 t} + \frac{10 e ^{3 t} t}{9} + \frac{t}{9} + \frac{2}{27}

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 9 y = t

Solve linear ODE:

y = - \frac{2}{27} e^{3 t} + \frac{10 e ^{3 t} t}{9} + \frac{t}{9} + \frac{2}{27}

y = - \frac{2}{27} e^{3 t} + \frac{10 e ^{3 t} t}{9} + \frac{t}{9} + \frac{2}{27}

Graph

Beliebte Beispiele

derivative of 1/x-1/(sin(x))

\frac{d}{d x} (\frac{1}{x} - \frac{1}{sin ( x )})

(dy)/(dx)=(6x^4e^{y/x}+x^2y^2)/(x^3y)

\frac{d y}{d x} = \frac{6 x ^{4} e ^{\frac{y}{x}} + x ^{2} y ^{2}}{x ^{3} y}

limit as x approaches 0+of sqrt(-x)

x \to 0 + lim (- x)

integral of sec(x)tan(x)-6e^x

\int sec (x) tan (x) - 6 e^{x} d x

y^{^{'}} = 5 (y - t^{2})