de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) - \frac{16}{73} sin (3 x) - \frac{6}{73} cos (3 x)

Schritte zur Lösung

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

Solve linear ODE:

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) - \frac{16}{73} sin (3 x) - \frac{6}{73} cos (3 x)

y = e^{- \frac{x}{2}} (c_{1} cos (\frac{3 x}{2}) + c_{2} sin (\frac{3 x}{2})) - \frac{16}{73} sin (3 x) - \frac{6}{73} cos (3 x)

Graph

Beliebte Beispiele

2(d^2x)/(dt^2)+18x+5=0

2 \frac{d ^{2} x}{d t ^{2}} + 18 x + 5 = 0

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

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

9y^{''}-6y^'+y=9-x^2

9 y^{^{''}} - 6 y^{^{'}} + y = 9 - x^{2}

y^{''}-y^'-2y=sin(3t),y(0)=1,y^'(0)=-1

y^{^{''}} - y^{^{'}} - 2 y = sin (3 t), y (0) = 1, y^{^{'}} (0) = - 1

y^{''}-2y^'+5y=1+t,y(0)=0,y^'(0)=1

y^{^{''}} - 2 y^{^{'}} + 5 y = 1 + t, y (0) = 0, y^{^{'}} (0) = 1