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^xsec(x)

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

integral of csc^2(x

\int csc^{2} (d) x d x

integral of (2y-1)/(x^2+1)

\int \frac{2 y - 1}{x ^{2} + 1} d y

integral of In\sqrt[3]{x}

\int I n 3 x d x

derivative of cos(x^{sin(x}))

\frac{d}{d x} (cos (x^{s i n (x)}))

derivative of x^4-50x^2

\frac{d}{d x} (x^{4} - 50 x^{2})