de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

2y^{''}-4y^'+4y=e^xtan(x)sec(x)

Lösung

2 y^{^{''}} - 4 y^{^{'}} + 4 y = e^{x} tan (x) sec (x)

Lösung

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

Schritte zur Lösung

2 y^{''} (x) - 4 y^{'} (x) + 4 y = e^{x} tan (x) sec (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

x^{''}+49x=99cos(4t)

x^{^{''}} + 49 x = 99 cos (4 t)

y^{''}-8y^'+20y=100x^2-65

y^{^{''}} - 8 y^{^{'}} + 20 y = 100 x^{2} - 65

y^{''}+2y^'-8y=4e^{-2x}-e^{-x}

y^{^{''}} + 2 y^{^{'}} - 8 y = 4 e^{- 2 x} - e^{- x}

y^{''}-4y^'+4y=(x+1)*e^{2x}

y^{^{''}} - 4 y^{^{'}} + 4 y = (x + 1) \cdot e^{2 x}

y^{''}+6y^'+13y=10e^{-2t},y(0)=3

y^{^{''}} + 6 y^{^{'}} + 13 y = 10 e^{- 2 t}, y (0) = 3