Find the Fourier and bilateral Laplace transform of the following functions

Apply the Fourier transform to reduce the following  PDEs

a. Heat Equation

b.  Laplace Equation   

c. Wave Equation 

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(a) (b) (c) (0-R<t<0 f(t)=Rt. 0<t≤ R f(t) = {R f(t) = eat [R+2=R<t<0 00<t<R (a) (b) (c) (0-R<t<0 f(t)=Rt. 0<t≤ R f(t) = {R f(t) = eat [R+2=R<t<0 00<t<R