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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

y^{''}-81y=e^{9x}

y^{^{''}} - 81 y = e^{9 x}

y^{''}+4y=t^2+7e^t,y(0)=0,y^'(0)=2

y^{^{''}} + 4 y = t^{2} + 7 e^{t}, y (0) = 0, y^{^{'}} (0) = 2

y^{''}+y^'=(3t^2+2t)e^t+cos(t/2)

y^{^{''}} + y^{^{'}} = (3 t^{2} + 2 t) e^{t} + cos (\frac{t}{2})

y^{''}+5y^'-6y=2sin(4x)

y^{^{''}} + 5 y^{^{'}} - 6 y = 2 sin (4 x)

y^{''}+3y^'+4y=20x+33

y^{^{''}} + 3 y^{^{'}} + 4 y = 20 x + 33