de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

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

Lösung

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

Lösung

y = c_{1} cos (t) + c_{2} sin (t) - \frac{1}{10} e^{- t} sin (2 t) + \frac{1}{5} e^{- t} cos (2 t)

Schritte zur Lösung

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

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) - \frac{1}{10} e^{- t} sin (2 t) + \frac{1}{5} e^{- t} cos (2 t)

y = c_{1} cos (t) + c_{2} sin (t) - \frac{1}{10} e^{- t} sin (2 t) + \frac{1}{5} e^{- t} cos (2 t)

Graph

Beliebte Beispiele

integral of 8θ^4

\int 8 θ^{4} d θ

integral of 3/((x-1)(x+2))

\int \frac{3}{( x - 1 ) ( x + 2 )} d x

derivative (x+1)/(e^x)

d er i v a t i v e \frac{x + 1}{e ^{x}}

taylor e^{-2x}+sin(3x)+3x^2-2x+5,0

t a y l or e^{- 2 x} + sin (3 x) + 3 x^{2} - 2 x + 5, 0

tangent f(x)= 6/((1+e^{-x))},\at x=0

t an g e n t f (x) = \frac{6}{( 1 + e ^{- x} )}, at x = 0