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Beliebt Rechnen >

y^{'''}+y^'=cot(x)

Lösung

y^{^{'''}} + y^{^{'}} = cot (x)

Lösung

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + ln (sin (x)) + cos (x) (- ln (tan (\frac{x}{2})) - cos (x)) - sin^{2} (x)

Schritte zur Lösung

y^{'''} (x) + y^{'} (x) = cot (x)

Solve linear ODE:

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + ln (sin (x)) + cos (x) (- ln (tan (\frac{x}{2})) - cos (x)) - sin^{2} (x)

y = c_{1} + c_{2} cos (x) + c_{3} sin (x) + ln (sin (x)) + cos (x) (- ln (tan (\frac{x}{2})) - cos (x)) - sin^{2} (x)

Graph

Beliebte Beispiele

y^{''}+5(dy)/(dx)+6y=2e^x

y^{^{''}} + 5 \frac{d y}{d x} + 6 y = 2 e^{x}

sum from n=1 to infinity of (9n)/(2n+1)

n = 1 \sum \infty \frac{9 n}{2 n + 1}

f(x)= 1/(arctan(x^2))

f (x) = \frac{1}{arctan ( x ^{2} )}

derivative 5arccot(t)+5arccot(1/t)

d er i v a t i v e 5 arccot (t) + 5 arccot (\frac{1}{t})

d/(dθ)(1+sin(θ))

\frac{d}{d θ} (1 + sin (θ))