MATH 240 Midterm: MATH 240 KSU Test 2s94

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Solutions may include integrals with xed lower bound, variable upper bound and integrand not succeptible to standard technique. 2 page 2: solve y 2y + 5y = 0 using techniques from chapter 2. Name y(0) = 1 y (0) = 1 page 3: solve y + 9y = cos(t) using laplace transforms. Name y(0) = 0 y (0) = 0 page 4. Name: solve y + y = sin(x) page 5. Name: find a particular solution to y y = cos(t) sin(t) of the form a cos( (t )) . page 6. Name: solve y y 20y = 2e2t . page 7. Name: a mass of 1. 0 kg is attached to a spring causing it to stretch 98 cm. Name y(0) = 0 y (0) = 0 page 8 page 9. Name: answer one of the following two questions. Your answer should be clearly written in standard english, supplemented as necessary with equations and drawings.

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