Bernoulli Equation Any equation equivalent to the form: y' + p(x)y = f(x)y" where r #1 or 0. A solution process 1. Find

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Bernoulli Equation Any Equation Equivalent To The Form Y P X Y F X Y Where R 1 Or 0 A Solution Process 1 Find 1 (44.85 KiB) Viewed 59 times

Bernoulli Equation Any equation equivalent to the form: y' + p(x)y = f(x)y" where r #1 or 0. A solution process 1. Find the solution to the homogeneous linear ODE y' + p(x)y = 0 denoted by yı 2. Use the substitution y = uyi and y' = u'yı + uyi to transform the equation to a separable equation. Remember we don't know what u is, but we do know what yı is. 3. Solve the separable ODE from set 2 to find u as a function of x. 4. Find y by plugging in u from step 3 and yı from step 1 into y = uyi Find the general solution of the differential equation: 5xy' - 2y Use lower case c for the constant in answer. Submit Question