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Beliebt Rechnen >

y^{''}-6y^'+25y=3t-2cos(5t)

Lösung

y^{^{''}} - 6 y^{^{'}} + 25 y = 3 t - 2 cos (5 t)

Lösung

y = e^{3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) + \frac{3 t}{25} + \frac{18}{625} + \frac{1}{15} sin (5 t)

Schritte zur Lösung

y^{''} (t) - 6 y^{'} (t) + 25 y = 3 t - 2 cos (5 t)

Solve linear ODE:

y = e^{3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) + \frac{3 t}{25} + \frac{18}{625} + \frac{1}{15} sin (5 t)

y = e^{3 t} (c_{1} cos (4 t) + c_{2} sin (4 t)) + \frac{3 t}{25} + \frac{18}{625} + \frac{1}{15} sin (5 t)

Graph

Beliebte Beispiele

integral of (6e^{7x})

\int (6 e^{7 x}) d x

integral of (sin(a)x)/(sqrt(c+cos(a)x))

\int \frac{sin ( a ) x}{c + cos ( a ) x} d x

integral of 1/7 x^{-6/7}

\int \frac{1}{7} x^{- \frac{6}{7}} d x

tangent y^2+xy+x^2=1,(0,1)

t an g e n t y^{2} + x y + x^{2} = 1, (0, 1)

x(dy)/(dx)=x^{-3}-2y

x \frac{d y}{d x} = x^{- 3} - 2 y