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Use the Laplace transform to solve the following initial value problem: y′′+7y′=0y(0)=8,y′(0)=−3 First, using Y for the
Posted: Thu Jul 14, 2022 4:09 pm
by 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 41 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)=