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341test1key - M ath 341 Section O il Test#1 This test has 6...

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Math 341 Section Oil: Test #1 This test, has 6 questions on 6 pages. Each question is worth the same. 1. Find the general solution of the differential equation w J 1 = -3*" + C <-3X - ,, v . \T (1) L + C 3^- C
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2. Solve the initial value problem = 5. - ^ *^3 T ^ / 2. , 8 - OC T- - -x = £ 3 r y 2. / , ^ z _ i— 3-x I w / /-. -X u = *X + C. = 32
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3. Solve the initial value problem dx 2 = T — T J, J, , at - 2. y. (i - u ^L -f- -x 'X f //
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f X c 0 -
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4. Consider the differential equation x-'V + 2xV - Gy = 0. (1) 4a. Verify that each of the functions y\ x 2 and y< 2 = :c~' ! is a solution of the equation. = ^ =? " -X' 3 4b. Solve tlu; initial value problem consisting of the equation (1) together with the initial conditions y(2) = 10 and y'(1) = 15. -3B B 8~ 38 , 15 16 ^ nfr i J2B J-b ~^} _— LL P( T <Si> 1*0 = 10 5 = -3
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5. Find the general solution
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