de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} + c_{2} e^{- \frac{x}{2}} + \frac{34 x + sin ( 2 x ) - 4 cos ( 2 x )}{68} - 1

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} + c_{2} e^{- \frac{x}{2}} + \frac{34 x + sin ( 2 x ) - 4 cos ( 2 x )}{68} - 1

y = c_{1} + c_{2} e^{- \frac{x}{2}} + \frac{34 x + sin ( 2 x ) - 4 cos ( 2 x )}{68} - 1

Graph

Beliebte Beispiele

y^{''}-2y^'+y=(2e^x)/(x^2-1)

y^{^{''}} - 2 y^{^{'}} + y = \frac{2 e ^{x}}{x ^{2} - 1}

y^{''}+5y^'+6y=-19te^{(2t)}

y^{^{''}} + 5 y^{^{'}} + 6 y = - 19 t e^{(2 t)}

y^{''}+9y=g(t),y(0)=4,y^'(0)=0

y^{^{''}} + 9 y = g (t), y (0) = 4, y^{^{'}} (0) = 0

y^{''}+5y^'+4y=2e^{-5x},y(0)=4,y^'(0)=3

y^{^{''}} + 5 y^{^{'}} + 4 y = 2 e^{- 5 x}, y (0) = 4, y^{^{'}} (0) = 3

D^2(D+2)y=2+e^{(-t)/2}

D^{2} (D + 2) y = 2 + e^{\frac{- t}{2}}