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Beliebt Rechnen >

y^{'''}+3y-10y^'=0

Lösung

y^{^{'''}} + 3 y - 10 y^{^{'}} = 0

Lösung

y = c_{1} e^{3 t} + c_{2} e^{\frac{( - 3 + 13 ) t}{2}} + c_{3} e^{\frac{( - 3 - 13 ) t}{2}}

Schritte zur Lösung

y^{'''} (t) + 3 y - 10 y^{'} (t) = 0

Solve linear ODE:

y = c_{1} e^{3 t} + c_{2} e^{\frac{( - 3 + 13 ) t}{2}} + c_{3} e^{\frac{( - 3 - 13 ) t}{2}}

y = c_{1} e^{3 t} + c_{2} e^{\frac{( - 3 + 13 ) t}{2}} + c_{3} e^{\frac{( - 3 - 13 ) t}{2}}

Graph

Beliebte Beispiele

(D^3+6D^2+11D+6)y=0

(D^{3} + 6 D^{2} + 11 D + 6) y = 0

y^{''}+48/2 y^'=0

y^{^{''}} + \frac{48}{2} y^{^{'}} = 0

3y^{''}-2y^'-7y=0

3 y^{^{''}} - 2 y^{^{'}} - 7 y = 0

y^{''}+y^'+9.5y=0

y^{^{''}} + y^{^{'}} + 9.5 y = 0

y^{''}+16y=0,y(pi^8)=-2,y^'(pi^8)=16

y^{^{''}} + 16 y = 0, y (π^{8}) = - 2, y^{^{'}} (π^{8}) = 16