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Popular Calculus >

(dy)/(dx)= y/(sqrt(1-x^2))

Solution

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

Solution

y = e^{a r c s i n (x) + c_{1}}

Solution steps

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

Solve separable ODE:

y = e^{a r c s i n (x) + c_{1}}

y = e^{a r c s i n (x) + c_{1}}

Graph

Popular Examples

(dy)/(dx)=8-15y

(dy)/(dx)=(2x+1)/(2y),y(-2)=-1

e^yy^'=((ln(t))^2)/t ,y(1)=ln(10)

Frequently Asked Questions (FAQ)

What is the solution for (dy)/(dx)= y/(sqrt(1-x^2)) ?
The solution for (dy)/(dx)= y/(sqrt(1-x^2)) is y=e^{arcsin(x)+c_{1}}