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20D - Homework Assignment 0 - UCSD Mathematics

Brian Bowers (TA for Hui Sun)MATH 20 DHomework Assignment 0 October 1, 201320D - Homework Assignment #1-6 Determine the order of the given differential equation; also state whether the equation is linearor nonlinear.(1)t2d2ydt2+tdydt+ 2y= sint(2) (1 +y2)d2ydt2+tdydt+y=et(3)d4ydt4+d3ydt3+d2 ydt2+dydt+y= 1(4)dydt+ty2= 0(5)d2ydt2+ sin(t+y) = sint(6)d3ydt3+tdydt+ (cos2t)y=t3(1) The highest derivative is a second derivative, so the order is 2. The equation matches the form ofequation (11) on page 21, so it is linear.(2) The highest derivative is a second derivative, so the order is 2. The term (1 +y2)d2ydt2 means that thisis a nonlinear equation since (1 +y2) is not a function oft.

Brian Bowers (TA for Hui Sun) MATH 20D Homework Assignment 0 October 1, 2013 20D - Homework Assignment 0 1.3 #1-6 Determine the order of the given di erential equation; also …

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