Use the method for solving Bernoulli equations to solve the following differential equation.\\ $\frac{dr}{d\theta} = \frac{r^2 + 6r\theta^2}{2\theta^3}$ \\ Ignoring lost solutions, if any, the general solution is $r = \boxed{}$ .\\ (Type an expression using $\theta$ as the variable.)
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Step 1: Identify the type of differential equation The given differential equation is in the form of a Bernoulli equation, which is of the form: \[ \frac{dr}{do} + P(o)r = Q(o)r^n \] where n is a constant. Show more…
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