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Beliebt Rechnen >

y^{''}-(n^2)/4 y=0

Lösung

y^{^{''}} - \frac{n ^{2}}{4} y = 0

Lösung

y = c_{1} e^{\frac{n t}{2}} + c_{2} e^{- \frac{n t}{2}}

Schritte zur Lösung

y^{''} (t) - \frac{n ^{2}}{4} y = 0

Solve linear ODE:

y = c_{1} e^{\frac{n t}{2}} + c_{2} e^{- \frac{n t}{2}}

y = c_{1} e^{\frac{n t}{2}} + c_{2} e^{- \frac{n t}{2}}

Graph

Beliebte Beispiele

linear (d^2y)/(dx^2)+4((dy)/(dx))+4y=0

l in e a r \frac{d ^{2} y}{d x ^{2}} + 4 (\frac{d y}{d x}) + 4 y = 0

4x^{''}+3x^'+5x=0

4 x^{^{''}} + 3 x^{^{'}} + 5 x = 0

y^{''}+64y=0,y^'(0)=0

y^{^{''}} + 64 y = 0, y^{^{'}} (0) = 0

x^{''}+2^2*3^2x=0

x^{^{''}} + 2^{2} \cdot 3^{2} x = 0

y^{'''}-y^{''}-12y^'-40y=0,y(0)=e^{5x}

y^{^{'''}} - y^{^{''}} - 12 y^{^{'}} - 40 y = 0, y (0) = e^{5 x}