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Beliebt Rechnen >

y^{''}+8y^{''}-9y=-10e^{-x}-425cos(2x)

Lösung

y^{^{''}} + 8 y^{^{''}} - 9 y = - 10 e^{- x} - 425 cos (2 x)

Lösung

y = c_{1} e^{x} + c_{2} e^{- x} + \frac{5 e ^{- x} x + 85 cos ( 2 x )}{9}

Schritte zur Lösung

y^{''} (x) + 8 y^{''} (x) - 9 y = - 10 e^{- x} - 425 cos (2 x)

Solve linear ODE:

y = c_{1} e^{x} + c_{2} e^{- x} + \frac{5 e ^{- x} x + 85 cos ( 2 x )}{9}

y = c_{1} e^{x} + c_{2} e^{- x} + \frac{5 e ^{- x} x + 85 cos ( 2 x )}{9}

Graph

Beliebte Beispiele

y^{''}+16y=sin(t),y(0)=0,y^'(0)=0

y^{^{''}} + 16 y = sin (t), y (0) = 0, y^{^{'}} (0) = 0

9y^{''}-6y^'+y=50sin(x)

9 y^{^{''}} - 6 y^{^{'}} + y = 50 sin (x)

4y^{''}+4y^'+y=xe^{*x/2}sin(x)

4 y^{^{''}} + 4 y^{^{'}} + y = x e^{\cdot \frac{x}{2}} sin (x)

y^{''}-y^'=2x^2-3

y^{^{''}} - y^{^{'}} = 2 x^{2} - 3

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

y^{^{''}} + 2 y^{^{'}} + y = e^{- x l n (x)}