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Beliebt Rechnen >

25y^{''}+80y^'+64y=0,y^'(0)=5

Lösung

25 y^{^{''}} + 80 y^{^{'}} + 64 y = 0, y^{^{'}} (0) = 5

Lösung

y = - \frac{e ^{- \frac{8 t}{5}} ( 25 - 5 c _{2} )}{8} + c_{2} e^{- \frac{8 t}{5}} t

Schritte zur Lösung

25 y^{''} (t) + 80 y^{'} (t) + 64 y = 0

Solve linear ODE:

y = - \frac{e ^{- \frac{8 t}{5}} ( 25 - 5 c _{2} )}{8} + c_{2} e^{- \frac{8 t}{5}} t

y = - \frac{e ^{- \frac{8 t}{5}} ( 25 - 5 c _{2} )}{8} + c_{2} e^{- \frac{8 t}{5}} t

Graph

Beliebte Beispiele

y^{''}+36y^'=0,y(0)=1,y(0)=0

y^{^{''}} + 36 y^{^{'}} = 0, y (0) = 1, y (0) = 0

256y^{''''}=625y

256 y^{^{''''}} = 625 y

4(y^{''})+4(y^')+y=0

4 (y^{^{''}}) + 4 (y^{^{'}}) + y = 0

y^{''''}-7y^{'''}+17y^{''}-17y^'+6y=0

y^{^{''''}} - 7 y^{^{'''}} + 17 y^{^{''}} - 17 y^{^{'}} + 6 y = 0

4y^{''}+20y^'+29y=0,y(0)=8

4 y^{^{''}} + 20 y^{^{'}} + 29 y = 0, y (0) = 8