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Beliebt Rechnen >

((d^2y)/(dx^2))-4y=0

Lösung

(\frac{d ^{2} y}{d x ^{2}}) - 4 y = 0

Lösung

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

Schritte zur Lösung

(\frac{d ^{2} y}{d x ^{2}}) - 4 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

y^{''}+12y^'+37y=4y

y^{^{''}} + 12 y^{^{'}} + 37 y = 4 y

y^{''}-y^'-12y=0,y(1)=0y^'(1)

y^{^{''}} - y^{^{'}} - 12 y = 0, y (1) = 0 y^{^{'}} (1)

linear y^{'''}-5y^{''}-4y^'+20y=0

l in e a r y^{^{'''}} - 5 y^{^{''}} - 4 y^{^{'}} + 20 y = 0

y^{''}+4y^'+4y=0,y(0)=2,y^'(0)=-3

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (0) = 2, y^{^{'}} (0) = - 3