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Prob7_24soln
Course: ME 302, Spring 2008School: Cal Poly
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Berkeley - SOC - 190
Cal Poly - ME - 302
Cal Poly - ME - 302
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Berkeley - SOC - 190
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Cal Poly - ME - 302
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Cal Poly - ME - 302
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Cal Poly - ME - 302
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UCLA - MATH - 33B
Math 33b, Quiz 1ac, January 15, 2008 Name: UCLA ID:1. Using any technique possible, find the solution to the initial-value problem 2 1 dy y + = 2 , y(1) = 4. dx x xSolution. We can rewrite this equation as a linear differential equation: 1 1 dy +
UCLA - MATH - 33B
Math 33b, Quiz 1bd, January 17, 2008 Name: UCLA ID:1. Using any technique possible, find the solution to the initial-value problem 4x dy + 2 y = 1, y(0) = -2. dx x + 1 Solution. The differential equation is linear, so we want to multiply both sides
UCLA - MATH - 33B
Math 33b, Quiz 2ac, January 22, 2008 Name: UCLA ID:1. Find the general solution to the initial-value problem (x2 + xy 3 )dx + (-3x2 y 2 )dy = 0, y(1) = 8. (An integrating factor of the form (x) will be required to make the given equation exact.) So
UCLA - MATH - 33B
Math 33b, Quiz 2bd, January 24, 2008 Name: UCLA ID:1. A tank initially containing 100 gallons of pure water is being fed by a pipe which pours in a solution at the rate of 2 gallons per minute. The solution contains 0.5 pounds of salt per gallon. A
UCLA - MATH - 33B
Math 33b, Quiz 3ac, January 29, 2008 Name: UCLA ID:1. Consider a lake that is being used as a fish farm; here fish are raised and eventually sold for food. The population of the lake is given by y = ry(1 - y/K) - h, where r, K, h are constants. Her
UCLA - MATH - 33B
Math 33b, Quiz 3bd, January 30, 2008 Name: UCLA ID:1. Consider a lake that is being used as a fish farm; here fish are raised and eventually y sold for food. The population of the lake is given by y = ry(1 - K ) - h, where r, K, h are constants. He
UCLA - MATH - 33B
Math 33b, Quiz 4ac, February 5, 2008 Name: UCLA ID:1. Find the general solution to the differential equation y - 3y - 10y = e-2t . Solution. The general solution y(t) is of the form y = yh + yp , where yh is a solution to the homogeneous equation y