de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

sin(y)cos(x)y^'=-cos(y)*sin(x)

Lösung

sin (y) \cdot cos (x) \cdot y^{^{'}} = - cos (y) \cdot sin (x)

Lösung

y = arccos (\frac{c _{1}}{cos ( x )}) + 2 πn, y = - arccos (\frac{c _{1}}{cos ( x )}) + 2 πn

Schritte zur Lösung

sin (y) \cdot cos (x) \cdot y^{'} (x) = - cos (y) \cdot sin (x)

Solve separable ODE:

y = arccos (\frac{c _{1}}{cos ( x )}) + 2 πn, y = - arccos (\frac{c _{1}}{cos ( x )}) + 2 πn

y = arccos (\frac{c _{1}}{cos ( x )}) + 2 πn, y = - arccos (\frac{c _{1}}{cos ( x )}) + 2 πn

Graph

Beliebte Beispiele

y^'(t)= 1/8 y(1-y/8),y(0)=60

y^{^{'}} (t) = \frac{1}{8} y (1 - \frac{y}{8}), y (0) = 60

(dy)/(dx)=(-0.3)/(cos(y)),y(0)= pi/4

\frac{d y}{d x} = \frac{- 0.3}{cos ( y )}, y (0) = \frac{π}{4}

y^'=(x^3)/(3e^{y+1)}

y^{^{'}} = \frac{x ^{3}}{3 e ^{y + 1}}

(ln(y))^3((dy)/(dx))=x^3y,y(1)=e^2

(ln (y))^{3} (\frac{d y}{d x}) = x^{3} y, y (1) = e^{2}

(dy)/(dx)=ksqrt(2y+a)

\frac{d y}{d x} = k 2 y + a