Initial value problems Solve the following problems.

y′(t) = −2y − 4, y(0) = 0

Solution:-

Step1

Given that

y′(t) = −2y − 4, y(0) = 0

Step2

To find

Solve the given problem.

Step3

y′(t) = −2y − 4

Put y=t

y′(t) = −2t − 4

Integrate the y′(t) = −2t − 4

y′(t) = (−2t − 4) dt

y(t)=-

Put y(0)=0

Put value of t in y(t)=- we...