Finding all constant solutions for the differential equation y'=sin(y) For my homework of finding ALL the constant solutions of given differential equations, a trigonometric function popped up dy/dx=sin(y) Unfortunately i'm new to differential equations and I could only prove it true for y=0 but when I plotted it on Desmos I could see that it was true for every multiple of pi. I was wondering how I could prove that, and how to deal with finding constant solutions for differential equations with trigonometric fucntions in general.

Find an equation of the plane. The plane through the points (2, 1, 2), (3, −8, 6), and (−2, −3, 1), help please

A consumer in a grocery store pushes a cart with a force of 35 N directed at an angle of ${\displaystyle {25}^{\circ }}$ below the horizontal. The force is just enough to overcome various frictional forces, so the cart moves at a steady pace. Find the work done by the shopper as she moves down a ${\displaystyle 50.0-m}$ length aisle.

What is the derivative of ${\displaystyle \arcsin \left[x^{\frac{1}{2}}\right]}$?

What is the derivative of ${\displaystyle y=\arcsin \left(\frac{3x}{4}\right)}$?

Determine if the graph is symmetric about the $x$-axis, the $y$-axis, or the origin.$r=4\cos 3\theta$.

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Using suitable identity solve (0.99)raised to the power 2.

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Find the point (x,y) on the unit circle that corresponds to the real number t=pi/4

How to differentiate ${\displaystyle {\sin }^{3}x}$?

A,B,C are three angles of triangle. If A -B=15, B-C=30. Find A , B, C.

Find the value of $\sin {270}^{\circ }$.