 ← → С ⓘNot secure webwork.math.ttu.edu/web work2/spr19lasikm3350s112/HW2/14/?key ehRiCACTwaDamyUpsSmZKnQu qlo1Gkb&user broonham&effectiveUser broor ham 1 point) In case an equation is in the form y'-f(a:r + by implicit general solution c), ie., the RHS is a linear function of z and y. We will use the substitution e-az + by c to find an The right hand side of the following first order problem - (4 -5y +1)12+5, (0)0 is a function of a linear combination ofz and 3, i. e.淂'-f(az t by t c). To solve this problem we use the substitution v-ar | by l c which transforms the equation into a separable equation We obtain the following separable equation in the variables r and t: ,- (4/5)-(1/5)vids Solving this equation an implicit general solution in terms of a, 7, can be written in the form Transforming back to the variables r and y the above equation becomes Next using the initial condition y(0) 0 we find Then, after a little algebra, we can write the unique explicit solution of the initial value problem as 1023 P Type here to search ← → С ⓘNot secure webwork.math.ttu.edu/web work2/spr19lasikm3350s112/HW2/14/?key ehRiCACTwaDamyUpsSmZKnQu qlo1Gkb&user broonham&effectiveUser broor ham 1 point) In case an equation is in the form y'-f(a:r + by implicit general solution c), ie., the RHS is a linear function of z and y. We will use the substitution e-az + by c to find an The right hand side of the following first order problem - (4 -5y +1)12+5, (0)0 is a function of a linear combination ofz and 3, i. e.淂'-f(az t by t c). To solve this problem we use the substitution v-ar | by l c which transforms the equation into a separable equation We obtain the following separable equation in the variables r and t: ,- (4/5)-(1/5)vids Solving this equation an implicit general solution in terms of a, 7, can be written in the form Transforming back to the variables r and y the above equation becomes Next using the initial condition y(0) 0 we find Then, after a little algebra, we can write the unique explicit solution of the initial value problem as 1023 P Type here to search

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