60 What type of differential equation is shown O A nonlinear

60 What type of differential equation is shown? O (A) nonlinear, second order, and nonhomogeneous O (B) linear, second order, and nonhomogeneous O (C) linear, second order, and homogeneous O (D) nonlinear, first order, and homogeneous

Solution

(A) Non-linear, second Order, and non-homogeneous

Non-linear because in term y is multiplied with y\', which for a linear equation must be a constant, not variable, so it is non linear.

Second Order, beacause y\'s highest differentiation order is two, i.e. y\"

And non-homogeneous because there is an exponential term carrying only other variable than y.