Mathematics, 03.02.2020 23:48, maribelsalgado3
If the right side of the equation dy dx = f(x, y) can be expressed as a function of the ratio y/x only, then the equation is said to be homogeneous. such equations can always be transformed into separable equations by a change of the dependent variable. the following method outline can be used for any homogeneous equation. that is, the substitution y = xv(x) transforms a homogeneous equation into a separable equation. the latter equation can be solved by direct integration, and then replacing v by y x gives the solution to the original equation. dy/dx = (x^2 + 5y^2)/ 2xy
Answers: 2
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If the right side of the equation dy dx = f(x, y) can be expressed as a function of the ratio y/x on...
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