The right hand side of the following first order problem is a linear function of x and y . Use the substitution v=x−y to solve the initial value problem. y′=sin^2(x−y), y(5)=5 We obtain the following separable equation in the variables x and v: ------------- Solving this equation and transforming back to the variables x and y we arrive at the implicit solution ----------- =x+C Finally we obtain the explicit solution of the initial value problem as y=----------

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A: Recall:Firstly product the givern term and find function of 'x'   i.e;   y=fxSome formula:∙ddx…

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A: Dear student as per our rule in one session we can only solve one question. Please post the other…

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A: