Raduca tha diffecential Equation+y(x)%3Dcosx ito Voltera integral squation ofsecond kind in tarms of (i) U(): () y)Radnce the differautial Eeuation+y(x) = cos x; y(0) = 0; y '(0) =0into Voltarz integral equation of second kind with (1),=U(x)and (i) y(x)+y(x)%3-cosx; y(0) = 0; y'(0) =-1de(ui)Roduce the IVPinto Voltara integral oequation of sacond kind in y(x) :y(x)- cos x-x--x-1--[(x-ry(t)atd'y(iv) Raduca the IVPy(0) = 0; y (0) =1+y(x)%3D%3Biuto Voltara integral equation of sacond kind with-=U(x) and (ii)y(x)

ii) We have d2ydx2+y=cosx let d2ydx2=uintegrate both side 0 to…

Raduca tha diffecential Equation +y(x) = cosx into Voltera integral squation of second kind in terms of (i) U): () y) Radnce the differential Equaticn ty(x) = cos x; y(0) = 0; y '(0) =0 into Voltera integral equation of second kind with (i) =U(x) and (ii) y(x) d³y +y(x) =-cosx; y(0) = 0; y'(0) =-1 Redace the IVP into Voltara intagral equation of sacond kind in ya) :y(x)- cosx-x-1--f(x=fy(t)dt iv) Raduca the IVP +y(x) = 0; y(0) = 0; y (0) =1 d'y =U(x) and (ii) y(x) iuto Voltara integral equation of sacond kind with )

Raduca tha diffecential Equation +y(x) = cosx into Voltera integral squation of second kind in terms of (i) U): () y) Radnce the differential Equaticn ty(x) = cos x; y(0) = 0; y '(0) =0 into Voltera integral equation of second kind with (i) =U(x) and (ii) y(x) d³y +y(x) =-cosx; y(0) = 0; y'(0) =-1 Redace the IVP into Voltara intagral equation of sacond kind in ya) :y(x)- cosx-x-1--f(x=fy(t)dt iv) Raduca the IVP +y(x) = 0; y(0) = 0; y (0) =1 d'y =U(x) and (ii) y(x) iuto Voltara integral equation of sacond kind with )

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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