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Beliebt Rechnen >

(d^2+2d+3)y=sin(x)

Lösung

(d^{2} + 2 d + 3) y = sin (x)

Lösung

y = e^{- x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + \frac{1}{4} sin (x) - \frac{1}{4} cos (x)

Schritte zur Lösung

(d^{2} + 2 d + 3) y = sin (x)

Solve linear ODE:

y = e^{- x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + \frac{1}{4} sin (x) - \frac{1}{4} cos (x)

y = e^{- x} (c_{1} cos (2 x) + c_{2} sin (2 x)) + \frac{1}{4} sin (x) - \frac{1}{4} cos (x)

Graph

Beliebte Beispiele

y^{'''}-3y^{''}+4y^'-2y=e^x

y^{^{'''}} - 3 y^{^{''}} + 4 y^{^{'}} - 2 y = e^{x}

(d^2-1)y=xsin^3(x)+cos(x)

(d^{2} - 1) y = x sin^{3} (x) + cos (x)

(d^4+8d^2+16)*y=-2

(d^{4} + 8 d^{2} + 16) \cdot y = - 2

(d^2+3d+2)y=e^2x+sin(x)

(d^{2} + 3 d + 2) y = e^{2} x + sin (x)

y^{''}-4y^'+5y=x^2e^3x

y^{^{''}} - 4 y^{^{'}} + 5 y = x^{2} e^{3} x