What is the solution for (dy)/(dx)=(10-y)cos(x) ?

The solution for (dy)/(dx)=(10-y)cos(x) is y=-e^{-sin(x)-c_{1}}+10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=(10-y)cos(x)

\frac{d y}{d x} = (10 - y) cos (x)

y = - e^{- s i n (x) - c_{1}} + 10

Solution steps

\frac{d y}{d x} = (10 - y) cos (x)

Solve separable ODE:

y = - e^{- s i n (x) - c_{1}} + 10

y = - e^{- s i n (x) - c_{1}} + 10

3 (y x^{2} + y) y^{^{'}} + 2 + y^{2} = 0, y (1) = 2

\frac{d y}{d x} = \frac{3 x 1 + y ^{2}}{y}

\frac{d y}{d t} + 2 y = 7, y (0) = 1

y^{^{'}} = 15 x^{2} y + 25 y + 9 x^{2} + 15

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

What is the solution for (dy)/(dx)=(10-y)cos(x) ?
The solution for (dy)/(dx)=(10-y)cos(x) is y=-e^{-sin(x)-c_{1}}+10