de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

y^{''}-2y^'+5y=104sin(3x)

Lösung

y^{^{''}} - 2 y^{^{'}} + 5 y = 104 sin (3 x)

Lösung

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) - 8 sin (3 x) + 12 cos (3 x)

Schritte zur Lösung

y^{''} (x) - 2 y^{'} (x) + 5 y = 104 sin (3 x)

Solve linear ODE:

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) - 8 sin (3 x) + 12 cos (3 x)

y = e^{x} (c_{1} cos (2 x) + c_{2} sin (2 x)) - 8 sin (3 x) + 12 cos (3 x)

Graph

Beliebte Beispiele

x^{''}+2x^'+5x=4t^2

x^{^{''}} + 2 x^{^{'}} + 5 x = 4 t^{2}

y^{''}-y^'-2y=1-x

y^{^{''}} - y^{^{'}} - 2 y = 1 - x

y^{'''}-5y^{''}+6y^'=3+7x

y^{^{'''}} - 5 y^{^{''}} + 6 y^{^{'}} = 3 + 7 x

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

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

y^{''}+y=1-1-\H(pi/2*t)

y^{^{''}} + y = 1 - 1 - H (\frac{π}{2} \cdot t)