Home
Class 12
MATHS
The solution of dx/dy+y=ye^((n-1)x) (n!=...

The solution of `dx/dy+y=ye^((n-1)x) (n!=1)` is
(A)`1/(n-1)ln((e^((n-1)x)-1)/e^((n-1)x))=y^2/2+C`
(B)`e^((1-n)x)=1+Ce^((n-1)(y^2/2))`
(C) `ln(1+Ce^((n-1)(y^2/2)))+nx+1=0`
(D) `e^((n-1)x)=Ce^((n-1)+(n-1)(y^2/2))+1`

Promotional Banner

Similar Questions

Explore conceptually related problems

(x^(2^n)-y^(2^n))/(x^(2^(n-1))+y^(2^(n-1)))=

Simplify : (x^(2^(n-1)) + y^(2^(n-1)))(x^(2^(n-1)) - y^(2^(n-1)))

The derivative of y=(1-x)(2-x)...(n-x) at x=1 is (a) 0( b) (-1)(n-1)!(c)n!-1(d)(-1)^(n-1)(n-1)!

(x^(2^(n-1))+y^(2^(n-1)))(x^(2^(n-1))-y^(2^(n-1)))=

The derivative of y=(1-x)(2-x)....(n-x) at x=1 is (a) 0 (b) (-1)(n-1)! (c) n !-1 (d) (-1)^(n-1)(n-1)!

The derivative of y=(1-x)(2-x)....(n-x) at x=1 is (a) 0 (b) (-1)(n-1)! (c) n !-1 (d) (-1)^(n-1)(n-1)!

The derivative of y=(1-x)(2-x)....(n-x) at x=1 is (a) 0 (b) (-1)(n-1)! (c) n !-1 (d) (-1)^(n-1)(n-1)!

If y=cos^(-1)((x^(2n)-1)/(x^(2n)+1)))," then "(1+x^(2n))y_(1)=