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2.6.11 Use the method for solving homogeneous equations to solve the following differential equation. (17y2-xy) dx+x2 dy=0 Ignoring lost solutions, if any. the general solution is y = (Type an expression using x as the variable.) Enter your answer in the answer box and then click Check Answer. c+17|nx' X That's incorrect. d To solve a homogeneous equation 11: =f(x,y), make the substitution v= % so that d the homogeneous equation has the form T: = G(v). Remember that v = % implies dv d that Ky =v+ XE. This substitution transforms the equation into a separable one. dv X3 = G(v) v. After separating the equation in v and x and integrating, it is possible to solve for v. Do so, then substitute the original variables into the solution to obtain the nal answer. E5 Question Help 0