The problem is written as:
y^2 * sqrt(1-x^2) * dy = arcsin(x) dx ; y(0)=1
I know that d/dx(arcsin x) = 1 / (1-x^2)^1/2 ... which means if i go with separation of variables,
the right side will be the integral of arcsin (x) / (1-x^2)^1/2 however, i don't really know how to
integrate that.
This question SHOULD be pretty simple, the class just started. Maybe i'm missing something
y^2 * sqrt(1-x^2) * dy = arcsin(x) dx ; y(0)=1
I know that d/dx(arcsin x) = 1 / (1-x^2)^1/2 ... which means if i go with separation of variables,
the right side will be the integral of arcsin (x) / (1-x^2)^1/2 however, i don't really know how to
integrate that.
This question SHOULD be pretty simple, the class just started. Maybe i'm missing something