Practice Final 1 Part 2

38 39 y3y 2 y3whenx 2 solvethedifferentialequation dy

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Unformatted text preview: te of constant density covering the given region. 34) The region bounded by y = x2 and y = 9 31) 32) 33) 34) 35) The region bounded by y = x4 , x = 4, and the x- axis 35) 36) The region bounded by the x - axis and the curve y = 7sin x, 0 ≤ x ≤ π 36) dy 37) 5y4 = 3x dx 37) dy = 3y dx 38) Solve. 38) 39) yʹ = 3y- 2 ; y = 3 when x = 2 Solve the differential equation. dy 40) cos x + y sin x = sin x cos x dx 41) dy y - = ( ln x)4 dx x 42) x dy = y + (x2 - 3)2 dx 39) 40) 41) 42) dy 43) ex + 3ex y = 2, x > 0 dx 43) 44) y ′ e6x + 6ye6x = 4x 44) Solve the initial value problem. 45) y ′ + y = 2ex; y(0) = 22 46) t dy + 3y = t3 ; t > 0, y(2) = 1 dt 45) 46) 47) θ 48) dy + y = cos θ; θ > 0, y(π) = 1 dθ dy + xy = 3x; y(0) = - 4 dx Solve the differential equation. 49) y′ - y = - xy2 50) - x3 y′ + 2x2 y = y2 47) 48) 49) 50) Answer Key Testname: PF1 1 1 1) - x cot 3x + ln sin 3x + C 3 9 1 1 1 2) - y2 cos 4y + y sin 4y + cos 4y + C 8 32 4 3) 1 2 2x 1 2x 1 2x x e - xe + e + C 2 4 2 4) 46.9 1 5) e 7x + 9 [ 7x...
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This document was uploaded on 03/17/2014 for the course MATH 185 at Orange Coast College.

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