en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

y^'=cos(t)*y

Solution

y^{^{'}} = cos (t) \cdot y

Solution

y = e^{s i n (t) + c_{1}}

Solution steps

y^{'} (t) = cos (t) \cdot y

Solve separable ODE:

y = e^{s i n (t) + c_{1}}

y = e^{s i n (t) + c_{1}}

Graph

Popular Examples

y^2sec(2x)(dy)/(dx)=1,y(0)=0

y^{2} sec (2 x) \frac{d y}{d x} = 1, y (0) = 0

xy^3dx+e^{x^3}dy=0

x y^{3} d x + e^{x^{3}} d y = 0

(dy)/(dx)=(ysin(x))/(y+1)

\frac{d y}{d x} = \frac{y sin ( x )}{y + 1}

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

(dy)/(dx)+(2y^2)=2y

\frac{d y}{d x} + (2 y^{2}) = 2 y

Frequently Asked Questions (FAQ)

What is the solution for y^'=cos(t)*y ?
The solution for y^'=cos(t)*y is y=e^{sin(t)+c_{1}}