we
find auxilary equation then its roots.next we write homogeneous
solution.then we use method of undetermined coefficients to find
particular solution.then we apply initial conditions to find
constants.
5. Solve equation
y'+2y=2-e^-4t, where
y(0)=1
6. Use Euler’s method for a previous problem at t=0, 0.1, 0.2,
0.3. Compare approximate and the exact values of y.
Given the differential equation
y''+y'+2y=0, y(0)=−1, y'(0)=2y′′+y′+2y=0, y(0)=-1, y′(0)=2
Apply the Laplace Transform and solve for Y(s)=L{y}Y(s)=L{y}. You
do not need to actually find the solution to the differential
equation.