If y2 = P(x) is a polynomial of degree 3 then 2 d/dx(y3d2y/dx2) aqual to

If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(dx^2)) is equal to P^(x)+P^(prime)(x) (b) P^(x)dotP^(x) P(x)dotP^(x) (d) a constant

Show that \ y=A e^(B x) is as solution of the differential equation (d^2y)/(dx^2)=1/y((dy)/(dx))^2dot

Verify that the function y=e^(-3x) is a solution of the differential equation (d^2y)/(dx^2)+(dy)/(dx)-6y=0

Verify that the function y=e^(-3x) is a solution of the differential equation (d^2y)/(dx^2)+(dy)/(dx)-6y=0

Number of values of m in N for which y=e^(m x) is a solution of the differential equation (d^3y)/(dx^3)-3(d^2y)/(dx^2)-4(dy)/(dx)+12 y=0 (a) 0 (b) 1 (c) 2 (d) More than 2

Number of values of m in N for which y=e^(m x) is a solution of the differential equation (d^3y)/(dx^3)-3(d^2y)/(dx^2)-4(dy)/(dx)+12 y=0 (a) 0 (b) 1 (c) 2 (d) More than 2

Show that y=e^(2x) is a solution of differential equation (d^(2)y)/(dx^(2))+(dy)/(dx)-6y=0

Show that A x^2+B y^2=1 is a solution of the differential equation x{y\ (d^2y)/(dx^2)+((dy)/(dx))^2}=y(dy)/(dx)dot

Show that A x^2+B y^2=1 is a solution of the differential equation x{y\ (d^2y)/(dx^2)+((dy)/(dx))^2}=y(dy)/(dx)dot

Verify that y=ae^(3x)+be^(-x) is a solution of differential equation (d^2y)/(dx^2)-2(dy)/(dx)-3y=0