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Beliebt Rechnen >

y^{''''}+13y^{''}+36y=0

Lösung

y^{^{''''}} + 13 y^{^{''}} + 36 y = 0

Lösung

y = c_{1} cos (2 t) + c_{2} sin (2 t) + c_{3} cos (3 t) + c_{4} sin (3 t)

Schritte zur Lösung

y^{(4)} (t) + 13 y^{''} (t) + 36 y = 0

Solve linear ODE:

y = c_{1} cos (2 t) + c_{2} sin (2 t) + c_{3} cos (3 t) + c_{4} sin (3 t)

y = c_{1} cos (2 t) + c_{2} sin (2 t) + c_{3} cos (3 t) + c_{4} sin (3 t)

Graph

Beliebte Beispiele

fläche y=2x+24,y=x^2

a re a y = 2 x + 24, y = x^{2}

y^{''}+3/x y^'-(15)/(x^2)y=0

y^{^{''}} + \frac{3}{x} y^{^{'}} - \frac{15}{x ^{2}} y = 0

integral of (sqrt(x+1))/(x-3)

\int \frac{x + 1}{x - 3} d x

integral of 1/((1-x^2)^{3/2)}

\int \frac{1}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

e^{(x+y)}(dx+dy)+4xdx=0

e^{(x + y)} (d x + d y) + 4 x d x = 0