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Beliebt Rechnen >

y^{''}-16y=0,y(0)=e^{4x},y(0)=9,y^'(0)=3

Lösung

y^{^{''}} - 16 y = 0, y (0) = e^{4 x}, y (0) = 9, y^{^{'}} (0) = 3

Lösung

y = c_{1} e^{4 x} + c_{2} e^{- 4 x}

Schritte zur Lösung

y^{''} (x) - 16 y = 0

Solve linear ODE:

y = c_{1} e^{4 x} + c_{2} e^{- 4 x}

y = c_{1} e^{4 x} + c_{2} e^{- 4 x}

Graph

Beliebte Beispiele

y^{''}+y^'+24y=0,y(0)=0,y^'(0)=-7

y^{^{''}} + y^{^{'}} + 24 y = 0, y (0) = 0, y^{^{'}} (0) = - 7

0.001y^{''}+10y=0

0.001 y^{^{''}} + 10 y = 0

y^{''}+1y-2y^'=0

y^{^{''}} + 1 y - 2 y^{^{'}} = 0

1y^{''}+3y^'-4y=0

1 y^{^{''}} + 3 y^{^{'}} - 4 y = 0

1.27y^{''}+8.4y^'+1284y=0

1.27 y^{^{''}} + 8.4 y^{^{'}} + 1284 y = 0