Question 1
Find the general solution using the method of undetermined coefficients.
𝑥 ′ = 3𝑥 − 𝑦 + 𝑡,
{
𝑦 ′ = 2𝑥 + 𝑦.
Question 2
Find the general solution.
𝑥 ′ = 𝑥 + 2𝑦 + 𝑒 2𝑡 ,
{
𝑦 ′ = 4𝑦.
Question 3
Find the general solution using the method of undetermined coefficients.
𝑥 ′ = 2𝑥 + 𝑦,
{
𝑦 ′ = 3𝑦 + 2𝑡𝑒 3𝑡 .
Question 4
Find the general solution.
𝑥 ′ = 2𝑥 + 𝑦 + cos 𝑡 ,
{
𝑦 ′ = 3𝑦.
Question 5
Solve using undetermined coefficients.
𝑥 ′ = 𝑥 + 𝑦 + 2𝑒 𝑡 ,
{
𝑦 ′ = 2𝑥 + 3𝑦 − 𝑒 𝑡 .
Find the general solution using the method of undetermined coefficients.
𝑥 ′ = 3𝑥 − 𝑦 + 𝑡,
{
𝑦 ′ = 2𝑥 + 𝑦.
Question 2
Find the general solution.
𝑥 ′ = 𝑥 + 2𝑦 + 𝑒 2𝑡 ,
{
𝑦 ′ = 4𝑦.
Question 3
Find the general solution using the method of undetermined coefficients.
𝑥 ′ = 2𝑥 + 𝑦,
{
𝑦 ′ = 3𝑦 + 2𝑡𝑒 3𝑡 .
Question 4
Find the general solution.
𝑥 ′ = 2𝑥 + 𝑦 + cos 𝑡 ,
{
𝑦 ′ = 3𝑦.
Question 5
Solve using undetermined coefficients.
𝑥 ′ = 𝑥 + 𝑦 + 2𝑒 𝑡 ,
{
𝑦 ′ = 2𝑥 + 3𝑦 − 𝑒 𝑡 .
