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Beliebt Rechnen >

y/(cos(x))(dy)/(dx)= 1/2

Lösung

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

Lösung

y = sin (x) + c_{1}, y = - sin (x) + c_{1}

Schritte zur Lösung

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

Solve separable ODE:

y = sin (x) + c_{1}, y = - sin (x) + c_{1}

y = sin (x) + c_{1}, y = - sin (x) + c_{1}

Graph

Beliebte Beispiele

(dy)/(dx)+4xy^3=0,y(0)= 1/2

\frac{d y}{d x} + 4 x y^{3} = 0, y (0) = \frac{1}{2}

(dy)/(dt)=-ky+100k,y(0)=50

\frac{d y}{d t} = - k y + 100 k, y (0) = 50

(2ln(y)+xln(y))dx+xy^{-1}dy=0

(2 ln (y) + x ln (y)) d x + x y^{- 1} d y = 0

t x^{^{'}} = - t^{2} x^{3}

x^'=x(t^2-1)(t^2-9),x(0)=1

x^{^{'}} = x (t^{2} - 1) (t^{2} - 9), x (0) = 1