MATH 315 FALL 2006 TEST 2 KEY1.(20 pts.) Consider the differential equation . 1.Find the general solution for the equation. Answer:characteristic polynomial is , with roots 0, -1, 2. The general solution is therefore 2.Determine the Wronskian for your fundamental solution set. 3.Determine the solution that satisfies initial conditions , , . the solution to the linear system is , , . Final solution:
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2.(16 pts.) Find the general solution for the differential equation . Answer:characteristic polynomial is , with roots , so A particular solution should have the form Final solution:. 3.(15 pts.) Suppose the general solution to a order homogeneous equation is Determine the general form that would be used with the method of undetermined coefficients for the solution to the nonhomogeneous equation