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Beliebt Rechnen >

y^{''}-6y^'+25y=0,y(0)=1,y^'(0)=-11

Lösung

y^{^{''}} - 6 y^{^{'}} + 25 y = 0, y (0) = 1, y^{^{'}} (0) = - 11

Lösung

y = e^{3 t} (cos (4 t) - \frac{7}{2} sin (4 t))

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 25 y = 0

Solve linear ODE:

y = e^{3 t} (cos (4 t) - \frac{7}{2} sin (4 t))

y = e^{3 t} (cos (4 t) - \frac{7}{2} sin (4 t))

Graph

Beliebte Beispiele

y^{''''}+24y^{''}=0

y^{^{''''}} + 24 y^{^{''}} = 0

4y^{''}-5y^'+y=0,y(0)=4

4 y^{^{''}} - 5 y^{^{'}} + y = 0, y (0) = 4

y^{''}+5y^'-3y=0

y^{^{''}} + 5 y^{^{'}} - 3 y = 0

a^2*(d^2y)/(dx^2)+a*(dy)/(dx)-c*y=0

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

y^{''''}+8y^{''}-4y^{'''}-16y^'+16y=0

y^{^{''''}} + 8 y^{^{''}} - 4 y^{^{'''}} - 16 y^{^{'}} + 16 y = 0