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Beliebt Rechnen >

(D^2+D)(y)=sin(x)

Lösung

(D^{2} + D) (y) = sin (x)

Lösung

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

Schritte zur Lösung

(D^{2} + D) y = sin (x)

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

4y^{''}-y^'+6=0

4 y^{^{''}} - y^{^{'}} + 6 = 0

y^{^{''}} + 4 y = 2 e^{t}

(d^2y)/(dx^2)+2(dy)/(dx)+2*y=2

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 2 \cdot y = 2

y^{''}+6y^'+9y=((16e^{-3x}))/(x^2+1)

y^{^{''}} + 6 y^{^{'}} + 9 y = \frac{( 16 e ^{- 3 x} )}{x ^{2} + 1}

y^{''}-2y^'-24y=72e^{2t}

y^{^{''}} - 2 y^{^{'}} - 24 y = 72 e^{2 t}