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At least one of the answers above is NOT correct. (1 point) In case an equation is in the form y' - f(ax + by),

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At least one of the answers above is NOT correct. (1 point) In case an equation is in the form y' - f(ax + by), i.e., the RHS is a linear function of a and y. We will use the substitution v - ar + by to find an implicit general solution. The right hand side of the following first order problem is a linear function of r and y. Use the substitution v = | y to solve the initial value problem. y' - sin(z + y) We obtain the following separable equation in the variables I and v. NOTE In order to carry out the required integration you might find it useful to multiply by sin(u) 1 sin (u) and use cos? (u) - 1 - sin?(u) Solving this equation and transforming back to the variables a and y an implicit solution can be written in the form C + sec(x+y)-tan(x+y) C

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