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3^(x)=5^(y)=(15)^(2):" Show that "...

3^(x)=5^(y)=(15)^(2):" Show that "

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If x^(3)+y^(3)=3ax^(2) , show that, (d^(2)y)/(dx^(2))+(2a^(2)x^(2))/(y^(5))=0 .

If y=x+(x^(3))/(3)+(x^(5))/(5)+…oo , show that (dy)/(dx)=(1)/(1-x^(2)) .

If y = x + (x^(3))/(3)+(x^(5))/(5)+* * * show that (dy)/(dx) = (1) /(1 - x^(2)) .

If y=3e^(2x)+2e^(3x), show that y_(2)-5y_(1)+6y=0

IF y=3e^(2x)+2e^(3x) , show that, y_2-5y_1+6y=0 .

If y = 3e^(2x)+2e^(3x) then show that y_2-5y_1 +6y=0

If x^3 + y^3 = 3ax^2 , show that y_2 + (2a^2x^2)/(y^5) = 0

If x+y=15 , show that x^(2)+y^(2) is least , when x=y=(15)/(2) .

If (10 x + 3y) : (5x + 2y) = 9 : 5 , then show that (2x + y) : (x + 2y) = 11 : 13 .