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Beliebt Rechnen >

3(sin(t)y^'+cos(t)y)=cos(t)sin^2(t)

Lösung

3 (sin (t) y^{^{'}} + cos (t) y) = cos (t) sin^{2} (t)

Lösung

y = \frac{sin ^{2} ( t )}{9} + \frac{c _{1}}{sin ( t )}

Schritte zur Lösung

3 (sin (t) y^{'} (t) + cos (t) y) = cos (t) sin^{2} (t)

Solve linear ODE:

y = \frac{sin ^{2} ( t )}{9} + \frac{c _{1}}{sin ( t )}

y = \frac{sin ^{2} ( t )}{9} + \frac{c _{1}}{sin ( t )}

Graph

Beliebte Beispiele

integral of arctan(9x)

\int arctan (9 x) d x

derivative f(x)= 1/x+1/(x^2)

d er i v a t i v e f (x) = \frac{1}{x} + \frac{1}{x ^{2}}

derivative ((5x^5-3x^2+1))/x

d er i v a t i v e \frac{( 5 x ^{5} - 3 x ^{2} + 1 )}{x}

integral of 1/(12(x^2+1))

\int \frac{1}{12 ( x ^{2} + 1 )} d x

limit as x approaches 3+of x/(x-3)

x \to 3 + lim (\frac{x}{x - 3})