de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}+9y=5sin(3x),y(0)=2,y^'(0)=0

Lösung

y^{^{''}} + 9 y = 5 sin (3 x), y (0) = 2, y^{^{'}} (0) = 0

Lösung

y = 2 cos (3 x) + \frac{5}{18} sin (3 x) - \frac{5 x cos ( 3 x )}{6}

Schritte zur Lösung

y^{''} (x) + 9 y = 5 sin (3 x)

Solve linear ODE:

y = 2 cos (3 x) + \frac{5}{18} sin (3 x) - \frac{5 x cos ( 3 x )}{6}

y = 2 cos (3 x) + \frac{5}{18} sin (3 x) - \frac{5 x cos ( 3 x )}{6}

Graph

Beliebte Beispiele

y^{''}+25y= 1/100 cos(5x)

y^{^{''}} + 25 y = \frac{1}{100} cos (5 x)

y^{''}+y^'-2y=3e^x

y^{^{''}} + y^{^{'}} - 2 y = 3 e^{x}

(d^2x)/(dt^2)-6(dx)/(dt)-7x=6

\frac{d ^{2} x}{d t ^{2}} - 6 \frac{d x}{d t} - 7 x = 6

1/6 y^{''}+6y=2tan(6t)-1/3 e^t

\frac{1}{6} y^{^{''}} + 6 y = 2 tan (6 t) - \frac{1}{3} e^{t}

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

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