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Beliebt Rechnen >

(dx)/(dy)=sin(5x)

Lösung

\frac{d x}{d y} = sin (5 x)

Lösung

x = \frac{2 arctan ( e ^{5 y + c_{1}} )}{5} + \frac{2 πn}{5}

Schritte zur Lösung

\frac{d x}{d y} = sin (5 x)

Solve separable ODE:

x = \frac{2 arctan ( e ^{5 y + c_{1}} )}{5} + \frac{2 πn}{5}

x = \frac{2 arctan ( e ^{5 y + c_{1}} )}{5} + \frac{2 πn}{5}

Graph

Beliebte Beispiele

(dy)/(dx)y=ln(ln(ln(x)))

\frac{d y}{d x} y = ln (ln (ln (x)))

(dy)/(dt)=2tcos^2(y),y(0)= pi/4

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

(x+\H(x)x)dx+x(\H(x)dx+xd\H(x))=0

(x + H (x) x) d x + x (H (x) d x + x d H (x)) = 0

(dy)/(dx)=-x/(y^2)

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

\frac{1}{1 + y ^{2}} y^{^{'}} = x