de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(d^2y)/(dx^2)-(dy)/(dx)-2y=sin(2x)

Lösung

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 2 y = sin (2 x)

Lösung

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{3}{20} sin (2 x) + \frac{1}{20} cos (2 x)

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - \frac{d y}{d x} - 2 y = sin (2 x)

Solve linear ODE:

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{3}{20} sin (2 x) + \frac{1}{20} cos (2 x)

y = c_{1} e^{2 x} + c_{2} e^{- x} - \frac{3}{20} sin (2 x) + \frac{1}{20} cos (2 x)

Graph

Beliebte Beispiele

y^{''}+y=sin^2(t)

y^{^{''}} + y = sin^{2} (t)

y^{''}+4y^'+4y=1+x-7e^{-2x}

y^{^{''}} + 4 y^{^{'}} + 4 y = 1 + x - 7 e^{- 2 x}

y^{''}+4y=cos(3t)

y^{^{''}} + 4 y = cos (3 t)

y^{''}+4y=4cos(x)+3sin(x)+8

y^{^{''}} + 4 y = 4 cos (x) + 3 sin (x) + 8

y^{'''}-y^'=11sin(t)

y^{^{'''}} - y^{^{'}} = 11 sin (t)