Obtain the differential equation associated with the primitive,`y=c_1e^(3x)+c_2e^(2x)+c_3e^x`, where `c_1,c_2,c_3` are arbitrary constants

Write the order of the differential equation associated with the primitive y=C_1+C_2e^x+C_3e^(-2x)+C_4,\ w h e r e\ C_1, C_2, C _3,\ C_4 are arbitrary constants.

Write the order of the differential equation associated with the primitive y=C_1+C_2e^x+C_3e^(-2x+C_4),\ w h e r e\ C_1, C_2, C-3,\ C_4 are arbitrary constants.

Write the order of the differential equation associated with the primitive y=C_(1)+C_(2)e^(x)+C_(3)e^(-2x+C_(4)), where C_(1),C_(2),C-3,C_(4) are arbitrary constants.

y = c_(1)e^(3x) +c_(2)e^(2x)

y=c_1 x+c_2 sin(2x+c_3) ( C_1, C_2, C_3 are arbitrary constants)

Obtain the differential equation by eliminating arbitrary constants. y=c_1e^(2x)+c_2e^(5x)