[" Number of values of "m in N" for which "y=e^(mx)" is a solution of the differential equation "],[D^(3)y-3D^(2)y-4Dy+12y=0" is - "]

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

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

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

The value of the constant'm' and 'c' for which y=mx+c is a solution of the differential equation D^(2)y-3Dy-4y=-4x is:

The value of the constant 'm' and 'c' for which y = mx + c is a solution of the differential equation D^2y - 3Dy -4y = -4x is:

Show that y=e^(-x)+mx+n is a solution of the differential equation e^(x)(d^(2)y)/(dx^(2))-1=0.

Verify that y = e^(-2x) is a solution of the differential equation y'' + 4y'' - 3y' - 2y = 0 .