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Beliebt Rechnen >

cos^2(y)sin(x)dx+sin(x)cos(x)dy=0

Lösung

cos^{2} (y) sin (x) d x + sin (x) cos (x) d y = 0

Lösung

y = arctan (- ln (tan (x) + sec (x)) + c_{1}) + πn

Schritte zur Lösung

cos^{2} (y) sin (x) d x + sin (x) cos (x) d y = 0

Solve separable ODE:

y = arctan (- ln (tan (x) + sec (x)) + c_{1}) + πn

y = arctan (- ln (tan (x) + sec (x)) + c_{1}) + πn

Graph

Beliebte Beispiele

(dy)/(dx)=2x^4sqrt(y),y>0

\frac{d y}{d x} = 2 x^{4} y, y > 0

(dy)/(dx)=2x(y^2+1)

\frac{d y}{d x} = 2 x (y^{2} + 1)

(dy)/(dx)=2xcos^2(y),y(0)= pi/4

\frac{d y}{d x} = 2 x cos^{2} (y), y (0) = \frac{π}{4}

(x+1)dx+e^ydy=0

(x + 1) d x + e^{y} d y = 0

y^{^{'}} = y - \frac{y ^{2}}{3}