Home
Class 12
MATHS
" 27.If "x=sin((1)/(a)log y)" ,show that...

" 27.If "x=sin((1)/(a)log y)" ,show that "(1-x^(2))y_(2)-xy_(1)-a^(2)y=0.quad " ICBSE 2010] "

Promotional Banner

Similar Questions

Explore conceptually related problems

" 1(a) If "y=e^(a sin^(-1)x)" ,show that "(1-x^(2))y_(2)-xy_(1)-a^(2)y=0

If x=sin(1/alogy) , show that (1-x^2)y_2-x\ y_1-a^2\ y=0 .

If y=cos(m sin^(-1)x), show that (1-x^(2))y_(2)-xy_(1)+m^(2)y=0

If x=sin(1/alogy),"show that"(1-x^2)y_2-xy_1-a^2y=0.

If y=sin^(-1)x/sqrt(1-x^(2)) show that (1-x^(2))y_(2)-3xy_(1)-y=0 .

If y=e^(msin^(-1)x),-1lexle1 , show that : (1-x^(2))y_(2)-xy_(1)-m^(2)y=0 .

If y=(sin^(-1)x)^(2), prove that (1-x^(2))y_(2)-xy_(1)-2=0

If y={x+sqrt(x^(2)+1)}^(m), show that (x^(2)+1)y_(2)+xy_(1)-m^(2)y=0

If y = sin(mcos^(-1)x) then prove that (1-x^(2))y_(2)-xy_(1)+m^(2)y=0 .

If x=sint,y=sinKt then show that (1-x^(2))y_2-xy_(1)+K^(2)y=0 .