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**Unformatted text preview: **+ y = sin 2 ( t ) describes undamped oscillations under the inuence of the external force F ( t ) = sin 2 ( t ) . Find all values of such that this equation has unbounded solutions. 2 Problem 4. y c = c 1 x 2 + c 2 x 3 is a complementary function of the equation x 2 y 00-4 xy + 6 y = x 3 . Find a particular solution of this equation on the interval x > . Problem 5. Find a general solution of the equation x 2 y 00-3 xy + 4 y = 0 on the interval x > . (Hint: make the substitution v = ln x .) 3 Blank page 4...

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