Practice Midterm 1

Practice Midterm 1 - lo[22 pts(3 Find the general solution...

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Unformatted text preview: lo [22 pts] (3.) Find the general solution for the diﬁerential equation 3/” —I— 9y 2 0 . (b) Solve the initial value problem y” —I— 9y : 0, y(0) : 2, y’(0) : _3, ” " x m; f r n, a ’7“ ’ vr’ *f‘f ;, My '3 X) WV.“ .z» r j >z w; ' {k H ,,,, .f (e) What is the amplitude of the solution to part (b)? 2° [27 pts] Give answers to these problems in real form (that ls7 eliminating imaginary expressions) . (3:) Find the general solution for 93/” + 63/ + y :2 0. WV % 55x r ‘ x. a; ,3?“ J , « 5' ., M k 2‘ (4 2.635;" max t > r y ,i 24. H, is. E :3. 3" «a: g. ,, u n er ‘ a w 4‘ - é \ i g ,7, l i I , t s i l E a f F 3. [25 pts] Solve the Initiai Value Problem 3/” — 41] + 3y = 631', y(0) = 0, y/(G) :— «1 . 4. [26 pts] (a) Find a particular solution for y” + 23/ + 5y 2: cos 2t. w » (b) Fact: yl : t2 and y2 = t3 are linearly independent solutions for the equation t2y” — 4ty’ + 6y : 0. Find a particular solution for t2y” w 4ty’ + 6y 2 ﬂ . 3 3 i :1 l x ...
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Practice Midterm 1 - lo[22 pts(3 Find the general solution...

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