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Question: in problems 120 solve each of the following differential equations...

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In Problems 1-20, solve each of the following differential equations. Explicitly solve for (x or (t) when possible 2. d2 (1)2 4(1 + x) = 4y 5. tanz dy + 2ydz = 0 ty 11, y, = zyez, y(0) = 1. Explain why this differential equation guarantees that its solution is symmetric about 0 12, y 22,2(3,2 + 1), y(0) = 1 13. (e +1)cos y dy e (sin y+1)dr 0, y(0) 3 14. (tan r)y = y, y (5)-플 1 17. (2) d 4) dy 0, (-3)-1 18.8cos2 y dz + csc2 z dy=0, y(n/12)=π/4 19. y -e, y(0) 0 20·-·-= , y(1)=1
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