Solution Found!
Answer: Solve the following differential equations using
Chapter 1, Problem 21(choose chapter or problem)
Solve the following differential equations using classical methods and the given initial conditions: [Review]
a. \(\begin{aligned} & \frac{d^2 x}{d t^2}+2 \frac{d x}{d t}+2 x=\sin 2 t \\ & x(0)=2 ; \frac{d x}{d t}(0)=-3 \end{aligned}\)
b. \(\begin{aligned} & \frac{d^2 x}{d t^2}+2 \frac{d x}{d t}+x=5 e^{-2 t}+t \\ & x(0)=2 ; \frac{d x}{d t}(0)=1 \end{aligned}\)
c. \(\frac{d^2 x}{d t^2}+4 x=t^2\)
\(x(0)=1 ; \frac{d x}{d t}(0)=2\)
Questions & Answers
QUESTION:
Solve the following differential equations using classical methods and the given initial conditions: [Review]
a. \(\begin{aligned} & \frac{d^2 x}{d t^2}+2 \frac{d x}{d t}+2 x=\sin 2 t \\ & x(0)=2 ; \frac{d x}{d t}(0)=-3 \end{aligned}\)
b. \(\begin{aligned} & \frac{d^2 x}{d t^2}+2 \frac{d x}{d t}+x=5 e^{-2 t}+t \\ & x(0)=2 ; \frac{d x}{d t}(0)=1 \end{aligned}\)
c. \(\frac{d^2 x}{d t^2}+4 x=t^2\)
\(x(0)=1 ; \frac{d x}{d t}(0)=2\)
ANSWER:Step 1 of 10
Given data:
a.
b.
c.
