Differential Equations

Question 1

ORDINARY - Two values of m gives

Answer 1

Real solution - x=A…….+B……..

Question 2

ORDINARY - One value of m gives

Answer 2

Repeat solutions - x=(A+Bt)….

Question 3

ORDINARY - Imaginary m gives

Answer 3

Imaginary solutions - e^at(csin(bt)+dcos(bt))

Question 4

Sign of constant for trig solution

Answer 4

Negative

Question 5

Sign of constant for exp solution

Answer 5

Positive

Question 6

First step to solve

Answer 6

Separate variables