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Beliebt Rechnen >

9y^{''}-8y=0

Lösung

9 y^{^{''}} - 8 y = 0

Lösung

y = c_{1} e^{\frac{2 ^{\frac{3}{2}} t}{3}} + c_{2} e^{- \frac{2 ^{\frac{3}{2}} t}{3}}

Schritte zur Lösung

9 y^{''} (t) - 8 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{2 ^{\frac{3}{2}} t}{3}} + c_{2} e^{- \frac{2 ^{\frac{3}{2}} t}{3}}

y = c_{1} e^{\frac{2 ^{\frac{3}{2}} t}{3}} + c_{2} e^{- \frac{2 ^{\frac{3}{2}} t}{3}}

Graph

Beliebte Beispiele

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

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

y^{'''}+23y^{''}+137y^'+115y=0

y^{^{'''}} + 23 y^{^{''}} + 137 y^{^{'}} + 115 y = 0

y^{''}-7y^'+12y=0,y(0)=0,y^'(0)=3

y^{^{''}} - 7 y^{^{'}} + 12 y = 0, y (0) = 0, y^{^{'}} (0) = 3

y^{''}+5/2 y^'+1.578125y=0

y^{^{''}} + \frac{5}{2} y^{^{'}} + 1.578125 y = 0

u^{''}+2/r u^'=0

u^{^{''}} + \frac{2}{r} u^{^{'}} = 0