What is the solution for (dy)/(dx)=sqrt(1-9y^2),y(-1)=0 ?

The solution for (dy)/(dx)=sqrt(1-9y^2),y(-1)=0 is y=(sin(3x+3))/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=sqrt(1-9y^2),y(-1)=0

\frac{d y}{d x} = 1 - 9 y^{2}, y (- 1) = 0

y = \frac{sin ( 3 x + 3 )}{3}

Solution steps

\frac{d y}{d x} = 1 - 9 y^{2}

Solve separable ODE:

y = \frac{sin ( 3 x + 3 )}{3}

y = \frac{sin ( 3 x + 3 )}{3}

x \to 0 lim (\frac{∣ sin ( x ) ∣}{x})

\frac{d}{d x} (- \frac{600}{x ^{2}} + 4)

f (x) = 4 x - 3 x^{2}, at x = 2

e^{, at} sin (b t)

\int csc (x) (csc (x) - cot (x)) d x

What is the solution for (dy)/(dx)=sqrt(1-9y^2),y(-1)=0 ?
The solution for (dy)/(dx)=sqrt(1-9y^2),y(-1)=0 is y=(sin(3x+3))/3