MATH 4B MIdterm review (2) - Math 4B Midterm Review These...

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Math 4B Midterm Review These are practice problems to help you prepare for your midterm - you do not need to turn in solutions. You should think of this as a starting point for organizing your study plan. You should also review homework problems, lecture notes, and examples from discussion. The midterm will cover material from Chapters 1 and 2 (specifically, 1.1, 2.1, 2.2, 2.3, 2.4, 2.5, and 2.7). 1. The slope field below corresponds to a linear DE of the form y' + p(t)y = g(t) i\ i\t it r t\ t\r \t / t\ t t''Trr-trT'-rhr|-r'?r't'vr7 / k -K jv \ t\ t\t \t j A r\t if j >\ f rp~f-yi.yr 5/—J— 7p-7 /!/ \t \ h t\t 1/ l f\ r 7j7‘i/T‘7i t\ f V T /; f r \t j r\ r\ MM V -i>- V * * V \ r\ r ' N7-'P'T’T7T>"X>'">'">r7 3i../ •/ .(..J t M / /if / /i f If ij t ii \i \ k -!» 4 > > 4 / -4 - 1 - 1 - 1 - 1 - 1 - 1 I I - 1 - 1 - I - 1 - 1 - 1 t —I -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 0 0.S 1 1.5 2 2.5 3 3.5 4 S S i \ ;1 r. tit it t r. tit vt t t\ t 0.5 / \t >. t\ t \f V \ t\ r-rnrruirT* l 1.5- (a) Is the corresponding DE is autonomous? How can you tell? (b) Sketch the solution curve corresponding to the initial condition y(0) = 1.
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