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Beliebt Rechnen >

y^{''}-y^'=3e^t

Lösung

y^{^{''}} - y^{^{'}} = 3 e^{t}

Lösung

y = c_{1} e^{t} + c_{2} + 3 t e^{t}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) = 3 e^{t}

Solve linear ODE:

y = c_{1} e^{t} + c_{2} + 3 t e^{t}

y = c_{1} e^{t} + c_{2} + 3 t e^{t}

Graph

Beliebte Beispiele

y^{'''}-3*y^{''}+2*y^'=-3*x^2+6

y^{^{'''}} - 3 \cdot y^{^{''}} + 2 \cdot y^{^{'}} = - 3 \cdot x^{2} + 6

(d^2-1)y= 2/(1+e^x)

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

y^{'''}+6y^{''}+12y^'+8y=8e^{-2x}

y^{^{'''}} + 6 y^{^{''}} + 12 y^{^{'}} + 8 y = 8 e^{- 2 x}

y^{''}+y^'+1.25=0

y^{^{''}} + y^{^{'}} + 1.25 = 0

(D^2-D-2)y=6e-t^2

(D^{2} - D - 2) y = 6 e - t^{2}