Answer Happy

(1 point) In case an equation is in the form y' = f(ax+by+c), i.e., the RHS is a linear function of a and y. We will use the substitution v= ax +by+c to find an implicit general solution. The right hand side of the following first order problem is a linear function of a and y. Use the substitution v= x - y to solve the initial value problem. y We obtain the following separable equation in the variables and v: = Y sin²(2-y), y(1) = 1 = 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