Problem 2-2 1.Solve the following differential equations. The solutions should be put into as simple a form as possible and checked by substitution into the differential equations. It is not necessary(and it is not forbidden) to find the interval for which the solution is defined or to prove that the general solution has been obtained. a. 20xdx ydyb. 22110xydxyxdyc. 241duuvdvvd. sin 2cos0xdxydye. 10xdxx dyf. 223dsttsdtst s2.Solve: DE: 120dxydyIC: 01yDetermine the xinterval for which the solution is defined. 3.Solve: xdyydxydy4.Does the equation 23make sense? Explain. 5.Explain why the first-order equation ,(,)0Mxydx Nxydycannot be solved by separation of variables. Give an example of such an equation.
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