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Beliebt Rechnen >

y^{'''}=3y^{''}+9(e^{2x})+5cos(x)

Lösung

y^{^{'''}} = 3 y^{^{''}} + 9 (e^{2 x}) + 5 cos (x)

Lösung

y = c_{1} e^{3 x} + c_{2} + c_{3} x - \frac{9}{4} e^{2 x} - \frac{1}{2} sin (x) + \frac{3}{2} cos (x)

Schritte zur Lösung

y^{'''} (x) = 3 y^{''} (x) + 9 (e^{2 x}) + 5 cos (x)

Solve linear ODE:

y = c_{1} e^{3 x} + c_{2} + c_{3} x - \frac{9}{4} e^{2 x} - \frac{1}{2} sin (x) + \frac{3}{2} cos (x)

y = c_{1} e^{3 x} + c_{2} + c_{3} x - \frac{9}{4} e^{2 x} - \frac{1}{2} sin (x) + \frac{3}{2} cos (x)

Graph

Beliebte Beispiele

(D^4-1)y=e^{-x}

(D^{4} - 1) y = e^{- x}

y^{''}+y=xsin(2x)

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

y^{''}+4y=3cos(2.1x)

y^{^{''}} + 4 y = 3 cos (2.1 x)

y^{''}-2y^'+2y=e^x,y(pi/2)=0,y(0)=0

y^{^{''}} - 2 y^{^{'}} + 2 y = e^{x}, y (\frac{π}{2}) = 0, y (0) = 0

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

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