Nonlinear Homogeneous Equations Any first-order nonlinear homogeneous equation is equivalent to the following equation:

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Nonlinear Homogeneous Equations Any First Order Nonlinear Homogeneous Equation Is Equivalent To The Following Equation 1 (63.93 KiB) Viewed 320 times

Nonlinear Homogeneous Equations Any first-order nonlinear homogeneous equation is equivalent to the following equation: y' =9) I should say that it might be difficult to tell if the standard first-order ODE f(x,y) can be rewritten as gly/x). But once you determine that the equation is a nonlinear homogeneous ODE you can follow this process to solve the equation: 1. Use the substitution y-ux and y'=u'x+u into the differential equation 2. Simplify the new differential equation to get a separable ODE with u as the dependent variable and x as the independent variable. 3. Solve the separable ODE and try to solve for u as a function of x. This is not always possible but try just the same. 4. Find y buy substituting the solution u into y=xu. Solve the differential equation dy da 4x + 2y 20 + 4y Write your solution without logarithms, and use a single, consolidated c as a constant. Submit Question