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Beliebt Rechnen >

y^{''}-6y^'=37sin(x)

Lösung

y^{^{''}} - 6 y^{^{'}} = 37 sin (x)

Lösung

y = c_{1} e^{6 x} + c_{2} - sin (x) + 6 cos (x)

Schritte zur Lösung

y^{''} (x) - 6 y^{'} (x) = 37 sin (x)

Solve linear ODE:

y = c_{1} e^{6 x} + c_{2} - sin (x) + 6 cos (x)

y = c_{1} e^{6 x} + c_{2} - sin (x) + 6 cos (x)

Graph

Beliebte Beispiele

y^{''}-4y^'+3y=3e^{-2t},y(0)=0,y^'(0)=0

y^{^{''}} - 4 y^{^{'}} + 3 y = 3 e^{- 2 t}, y (0) = 0, y^{^{'}} (0) = 0

y^{''}-2y^'+y=20sin(x)

y^{^{''}} - 2 y^{^{'}} + y = 20 sin (x)

2y^{''}-16y+4=0

2 y^{^{''}} - 16 y + 4 = 0

y^{'''}-3y^{''}+3y^'-y=e^x+1

y^{^{'''}} - 3 y^{^{''}} + 3 y^{^{'}} - y = e^{x} + 1

y^{''}+y=5t^2-5,y(0)=0,y^'(0)=-6

y^{^{''}} + y = 5 t^{2} - 5, y (0) = 0, y^{^{'}} (0) = - 6