DIFFERENTIAL EQUATION CHALLENGE 3

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Discussion Response Post to: DIFFERENTIAL EQUATION CHALLENGE 3

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kabi (1665)

Blazing goIITian

total posts: 575
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It's my request to plz don't write the question in this way . I m only able to understand this question . Kindly rewrite the question by using latex .

let x = r cos@ and y = rsin@

x² + y² =r²

x + y dy/dx =r dr /dx

y /x = tan@

( x dy/dx - y)/ x² = sec²@d@/dx

( x dy/dx - y) = d @ /dx

so ur question will become ::

r dr / r²d@ = Sqrt (1 -r² ) / r

dr / Sqrt ( 1 -r²) =d@

integrating this will give ::

r = sin ( @ +C )

rewrite r and @ in the form x and y .

The time u guys take to find the derivative of a function or for finding the equilibrium constant of a reaction or for finding the angle of dispersion of prism or for standing from ur seat to congratulate our team after their win almost in that time one kid die because of poverty.

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