applied mathematics

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Zban1410

Mathematics

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i want to help to solve Questions , and i need to show me all your work in steps because i want to understand them

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Consider @ X + 2€ * 1x = 0, 0xcel. Set vtt) = exc+). Construct a differential equation satisfied by Vand Find it's general solution. Then write the general solution of . © Consider & ult; e) = 1 + 425 (5-1) uls; elds, occael. First Show alt; &l= coset is an = COS Et is an exact solution of . Second, write ( as ult;&l=1 te ult; e) = 1+2°/5°C5-1)(1+°[$?.6-5)(1***[8:19-0) wc, ve]).] ds It alt; el = Uolt) + a, (4) E + U,(t) €²+Uz(t)e² + ultle" - Oles), Find 40, 41, 42, 43, U, and compare to the exact solution. 10. x M. is Find the general solution of X + 47 En + 3% =0, t=0,1,2,... ii) kewooke the scalar equation as a ryskmet 2 first under egetoons FEAT iii) Find eigenvalues , with corresponding eigenveeters, of A. ivs Weste the general solution of der Aue in the forer i dritare. Compare your general solutions foom is and iv.
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