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Beliebt Rechnen >

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

Lösung

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

Lösung

y = (1 - c_{2}) e^{t} + c_{2} e^{- t}

Schritte zur Lösung

y^{''} (t) - y = 0

Solve linear ODE:

y = (1 - c_{2}) e^{t} + c_{2} e^{- t}

y = (1 - c_{2}) e^{t} + c_{2} e^{- t}

Graph

Beliebte Beispiele

y^{''}-2y^'+5y=0,y(0)=-4,y^'(0)=3

y^{^{''}} - 2 y^{^{'}} + 5 y = 0, y (0) = - 4, y^{^{'}} (0) = 3

x^{''}+4x^'-5x=0

x^{^{''}} + 4 x^{^{'}} - 5 x = 0

9y^{''}-42y^'+49y=0

9 y^{^{''}} - 42 y^{^{'}} + 49 y = 0

x^{''}+2ax^'+bx=0

x^{^{''}} + 2 a x^{^{'}} + b x = 0

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

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