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adichy
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Homework Statement
By making the change of variables x where x = sin [tex]\theta[/tex], calculate the indefinite
integral
[tex]\int \sqrt{1-x^2}[/tex]
expressing you answer as a function of x.
Hence find the solution(s) to the differential equation
[tex]\frac{dy}{dx}[/tex] [tex]\frac{d^2y}{dx^2}[/tex] +x =0
Homework Equations
The Attempt at a Solution
so I've done the intergral and got
arc sin (x) /2 +(x(1-x^2)^1/2)/2+c
not sure how I am meant to use that to solve the differential, any advice would be apreciated.
edit: the latex comes ot completely wrong, dnt kno why..sorry :(
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