3. Using Laplace transform methods, a) solve for 20 the following differential equation, subject to the specified initia

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3 Using Laplace Transform Methods A Solve For 20 The Following Differential Equation Subject To The Specified Initia 1 (12.49 KiB) Viewed 41 times

3. Using Laplace transform methods, a) solve for 20 the following differential equation, subject to the specified initial conditions: dz +3r=e=2¹; r(0) = 2 b) Show all the properties applied to solve the differential equation above. (7 marks) (4 marks) 4. Show that the functions Bo(r) = 1 and B₁(x)=√3(1-2r) are orthonormal with respect to the inner product (1,9) = f(z)g(z)dz. (9 marks)