Use the Laplace transform to solve the following initial value problem: y′′+7y′=0y(0)=8,y′(0)=−3 First, using Y for the

[answerhappygod]

Use The Laplace Transform To Solve The Following Initial Value Problem Y 7y 0y 0 8 Y 0 3 First Using Y For The 1 (50.44 KiB) Viewed 39 times

Use the Laplace transform to solve the following initial value problem: y′′+7y′=0y(0)=8,y′(0)=−3 First, using Y for the Laplace transform of y(t), i.e., Y=L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation =0 Now solve for Y(s)= and write the above answer in its partial fraction decomposition, Y(s)=s+aA​+s+bB​ where a<b Y(s)= Now by inverting the transform, find y(t)=