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Beliebt Rechnen >

(cos(θ))dx+(1+e-x)(sin(θ))dθ=0

Lösung

(cos (θ)) d x + (1 + e - x) (sin (θ)) d θ = 0

Lösung

x = - \frac{c _{1}}{cos ( θ )} + 1 + e

Schritte zur Lösung

(cos (θ)) d x + (1 + e - x) (sin (θ)) d θ = 0

Solve separable ODE:

x = - \frac{c _{1}}{cos ( θ )} + 1 + e

x = - \frac{c _{1}}{cos ( θ )} + 1 + e

Graph

Beliebte Beispiele

(dr)/(dq)=(50-4q)e^{-r/5}

\frac{d r}{d q} = (50 - 4 q) e^{- \frac{r}{5}}

(dr(θ))/(r(θ)^2)=(r(θ)dθ)/(θ^2)

\frac{d r ( θ )}{r ( θ ) ^{2}} = \frac{r ( θ ) d θ}{θ ^{2}}

x y d x + x^{2} d y = 0

(dy)/(dx)=(sin^2(y))/(1-x^2)

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

v^2x^2dx+x^2dx-2x^2v^2dx-2x^3vdv=0

v^{2} x^{2} d x + x^{2} d x - 2 x^{2} v^{2} d x - 2 x^{3} v d v = 0