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Beliebt Rechnen >

25y^{''}+10y^'+y=0,y(0)=2,y^'(0)=1

Lösung

25 y^{^{''}} + 10 y^{^{'}} + y = 0, y (0) = 2, y^{^{'}} (0) = 1

Lösung

y = 2 e^{- \frac{t}{5}} + \frac{7 e ^{- \frac{t}{5}} t}{5}

Schritte zur Lösung

25 y^{''} (t) + 10 y^{'} (t) + y = 0

Solve linear ODE:

y = 2 e^{- \frac{t}{5}} + \frac{7 e ^{- \frac{t}{5}} t}{5}

y = 2 e^{- \frac{t}{5}} + \frac{7 e ^{- \frac{t}{5}} t}{5}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+a^2y=0

\frac{d ^{2} y}{d x ^{2}} + a^{2} y = 0

14y^{''''}+95y^{''}+144y=0

14 y^{^{''''}} + 95 y^{^{''}} + 144 y = 0

22y^{''''}+29y^{''}+9y=0

22 y^{^{''''}} + 29 y^{^{''}} + 9 y = 0

y^{''}+2y^'=0,y(0)=3,y^'(0)=10

y^{^{''}} + 2 y^{^{'}} = 0, y (0) = 3, y^{^{'}} (0) = 10

y^{''''}+2y^{'''}-2y^'-y=0

y^{^{''''}} + 2 y^{^{'''}} - 2 y^{^{'}} - y = 0