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Beliebt Rechnen >

y^{''}+y^'-2y=4,y(0)=2,y^'(0)=1

Lösung

y^{^{''}} + y^{^{'}} - 2 y = 4, y (0) = 2, y^{^{'}} (0) = 1

Lösung

y = 3 e^{t} + e^{- 2 t} - 2

Schritte zur Lösung

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

Solve linear ODE:

y = 3 e^{t} + e^{- 2 t} - 2

y = 3 e^{t} + e^{- 2 t} - 2

Graph

Beliebte Beispiele

y^{''}+2y^'+y=x^2+2

y^{^{''}} + 2 y^{^{'}} + y = x^{2} + 2

y^{''}+y=sin(3t)

y^{^{''}} + y = sin (3 t)

y^{''}+2y^'+2y=1+x

y^{^{''}} + 2 y^{^{'}} + 2 y = 1 + x

y^{''}-8y^'+16y=t,y(0)=0,y^'(0)=1

y^{^{''}} - 8 y^{^{'}} + 16 y = t, y (0) = 0, y^{^{'}} (0) = 1

y^{''}+4y=4cos(x)+3sin(x)-8

y^{^{''}} + 4 y = 4 cos (x) + 3 sin (x) - 8