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Beliebt Rechnen >

y^{''}+9y=52e^{2x}

Lösung

y^{^{''}} + 9 y = 52 e^{2 x}

Lösung

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

Schritte zur Lösung

y^{''} (x) + 9 y = 52 e^{2 x}

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

0.1y^{''}+50y^'+2000y=110cos(377x)

0.1 y^{^{''}} + 50 y^{^{'}} + 2000 y = 110 cos (377 x)

y^{''}-3y^'+2y=(x+1)^2

y^{^{''}} - 3 y^{^{'}} + 2 y = (x + 1)^{2}

(D^2-4)y=cos^2(x)

(D^{2} - 4) y = cos^{2} (x)

y^{''}-2y^'-3y=8e^{2t}+10t^2

y^{^{''}} - 2 y^{^{'}} - 3 y = 8 e^{2 t} + 10 t^{2}

y^{''}-5y^'+6y=x

y^{^{''}} - 5 y^{^{'}} + 6 y = x