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Beliebt Rechnen >

y^{''}-y=15t,y(0)=-15t

Lösung

y^{^{''}} - y = 15 t, y (0) = - 15 t

Lösung

y = c_{1} e^{t} + c_{2} e^{- t} - 15 t

Schritte zur Lösung

y^{''} (t) - y = 15 t

Solve linear ODE:

y = c_{1} e^{t} + c_{2} e^{- t} - 15 t

y = c_{1} e^{t} + c_{2} e^{- t} - 15 t

Graph

Beliebte Beispiele

2(d^2y)/(dx^2)+4y^'+2y= 1/(e^x(x+1))

2 \frac{d ^{2} y}{d x ^{2}} + 4 y^{^{'}} + 2 y = \frac{1}{e ^{x} ( x + 1 )}

y^{''}+4y^'+4y=15x+17

y^{^{''}} + 4 y^{^{'}} + 4 y = 15 x + 17

y^{''}+16y^'+64y=100e^{2x}

y^{^{''}} + 16 y^{^{'}} + 64 y = 100 e^{2 x}

y^{''}-2y^'-3y=6xe^x+4x-5

y^{^{''}} - 2 y^{^{'}} - 3 y = 6 x e^{x} + 4 x - 5

y^{''}-2y^'+5y=cos(x)

y^{^{''}} - 2 y^{^{'}} + 5 y = cos (x)