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Beliebt Rechnen >

y^{''}-y=4e^t-2e^{-t},y(0)=1,y^'(0)=4

Lösung

y^{^{''}} - y = 4 e^{t} - 2 e^{- t}, y (0) = 1, y^{^{'}} (0) = 4

Lösung

y = 2 e^{t} t + e^{- t} t + e^{t}

Schritte zur Lösung

y^{''} (t) - y = 4 e^{t} - 2 e^{- t}

Solve linear ODE:

y = 2 e^{t} t + e^{- t} t + e^{t}

y = 2 e^{t} t + e^{- t} t + e^{t}

Graph

Beliebte Beispiele

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

y^{^{''}} - 4 y = e - 2 x

y^{''}+y^'-2y=x+sin(2x),y^'(0)=0,y(0)=1

y^{^{''}} + y^{^{'}} - 2 y = x + sin (2 x), y^{^{'}} (0) = 0, y (0) = 1

y^{''}-3y^'+2y=x^2+8x+9

y^{^{''}} - 3 y^{^{'}} + 2 y = x^{2} + 8 x + 9

(D^4-8D^2+16)(y)=xe^{2x}

(D^{4} - 8 D^{2} + 16) (y) = x e^{2 x}