" 10.यर्स "(I)y=3e^(2x)+2e^(3x)," ftre "pi" (prove "

y = e ^ (2x) + e ^ (3x)

If y = 3e^(2x) + 2e^(3x) , then prove that (d^2y)/(dx^2) - 5 (dy)/(dx) + 6y = 0

[" The solution of equation "],[log((dy)/(dx))=9x-6y+6;" given that "],[y(0)=1" is "],[[" (1) "4e^(6y)=3e^(9x+6)+e^(6)," ( ) "],[" (2) "3e^(6y)=4e^(9x+6)-e^(6)," 3e "6y=2e^(9x+6)+e^(6)],[" (4) "2e^(6y)=3e^(9x+6)-e^(6)]]

If =3e^(2x)+2e^(3x) then prove that (d^(2)y)/(dx^(2))-5(dy)/(dx)+6y=0

If y = 3e^(2x) + 2e^(3x) , prove that (d^2y)/(dx^2) - 5(dy)/(dx) + 6y = 0

lf y=3e^(2x) +2e^(3x) , prove that d^2y/dx^2 - 5dy/dx +6y =0 .

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), prove that (d^(2)y)/(dx^(2))-5(dy)/(dx)+6y=0