Question: Find a solution to the initial value problem,xy'+y=7ez,y(1)=2+7e[Hint: Interpret the left-hand side of the equation as the derivative of the product of two functions.]y=(a) Consider

Find a solution to the initial value problem,xy'+y=7ez,y(1)=2+7e[Hint: Interpret the left-hand side of the equation as the derivative of the product of two functions.]y=(a) Consider the differential equationxdydx-4y=0Find a general solution to this differential equation that has the form y=Cxn.y=Find a second solution y=Cxn that might not be a general solution and which may have a different value ofn than your first solution.y=(b)If the solution additionally satisfies y=15 when x=4, what is the solution?y=

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