Рет қаралды 780
0:00 Q1 If e^x+e^y=e^(x+y) prove that 〖dy/dx=-e〗^(y-x)
04:52 Q2 If y= 〖(cosx)〗^(〖(cosx)〗^(〖(cosx)〗^(…….∞) ) ) show that dy/dx=(y^2 tanx)/(y logcosx-1)
09:11 Q3 Differentiate 〖tan^(-1) (√(1-x^2 )/x) 〗with respect to cos^(-1)(2x√(1-x^2 ))
15:30 Q4 If y=tan^(-1)x find (d^2 y)/(dx^2 ) in term of y alone
18:01 Q5 If x=sint and y=sinpt ,prove that (1-x^2)(d^2 y)/(dx^2 )-x dy/dx+p^2 y=0
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