Solve - Calculus - Solved Exam, Exams of Calculus

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1. (12 points) Solve the IVP y! = TSB aye + ur) =0. Ay XSinx Fe ieee 2 “ ax Zar 38 34 dy z J aytdy = 4 C. { eciawd.x . = —xXteost - Wax AveSraydee kus de ve bose oe ame ce ctor ee 4 J eos dv 5 Se, ye, < -Ktos¥ + Sinn Cy —MLost 4+ Stax +Cz Se a —Xtoce + Slax + C (sles Cec.26, ) 5s = 3 4 ~ Keose + Sine a Cc o<= > Then , ylt)=o ? (ao a ele ee yo Wess(n) tyintn) 4 ¢ t “Decs 23 Ot A(qeote —s C=-71 ay a 2. (12 points) Bealuate [7 a Lohan we yeo / Yor Mtese + Sia -T0 — Mettad A = i de _ dk SMe Had 2% Je Ut ys2siwt moe (2axvte-¥) ser ae due Qeestdé. : t i = «A +3 ‘ i AWS : stat = # Q+\a-«) ate 2-¥ : 4- op 2t ‘2 2 estdt l= A(a-¥4 4 BC2te) ‘ 4 eonte 2 5 t + X22: [2 Afo)4pca). : ad f ate : \ ee 4-x “EE i 1 6 ag = it Meek: [= AC 44 BCe) ; > ) post a Ae fy, Thess, (Ae 1 CMY oy : emis ae A