Bernoulli First Order ODE

You switched one sign too many in $$ -\frac12v'+\frac2xv=\frac5{x^2} $$ Then $$ \left(\frac{v}{x^4}\right)'=\frac{v'}{x^4}-\frac{4v}{x^5}=-\frac{10}{x^6} \implies \frac{v}{x^4}=\frac2{x^5}+C $$ etc.

Tags:

Integration

Calculus

Algebra Precalculus

Ordinary Differential Equations

Related

$X^*$ is separable then $X$ is separable [Proof explanation] Finding the limit of the following sequence: $\left(\frac{2m^2 + m + 4}{2m^2 + 3m + 5}\right)^{3m-3}$ Proof of $\mathbb E[\exp( \lambda XY)]=\mathbb E[\exp( \lambda^2 X^2)/2]$, where $X,Y$ are independent standard normal random variables Is this alternative representation of $f(x)=xe^x$ as Maclaurin series correct? $a+b+c=x+y+z$ and $abc=xyz$ , in which each two of them unequal. Can a curve fill a disk? Convergence of positive sequence in which each term is less than the average of preceding 2 terms When $A$ is $3\times3$, prove that $A^2=0$ iff $A$ has rank less than or equal one and trace zero Term for the sum of products of a number's prime factors, excluding one factor per product. Negation of a Basic Logic Statement Is this a trivial counterexample to basic Rosen number theory exercise? How to prove that when $n$ is even, and $A = (a_{ij})_{i,j}$, $1\leq i,j\leq n$ to show that $\mathrm{det} A = 1$?

Recent Posts