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Question: can someone help me with any questions after 1...

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1. State whether the given ordinary differential equation is linear or nonlinear. Determine the order of each equation. (a) (1-x)y -4xy +5y cos x (b) yy +2y 1-2 (c) (sin x)y (cos x)y 12 2. Verify that the indicated function is a solution of the given differen- tial equation. You may assume an appropriate interval of validity for the solution. (a) d-2y -3x (b) y 25y2 y 5 tan (5x) (c) x2 dy +2xy dx 0 y x >0, c1,02 constant 3. Find values for m so that y- x is a solution of the differential equation. 4. Verify that y Cearctan (where C is an arbitrary constant) is a solu tion of the differential equationn 21 5. Is x2 +y-6x10y34 0 an implicit solution of the differential equation ?

Can someone help me with any questions after 1?

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