# Separable differential equations questions with answers

Recent questions in Separable Differential Equations
Dean Summers 2022-07-25

### Consider the equation $dy/dx={y}^{1/3}$.

Deborah Wyatt 2022-07-23

### Having trouble solving this separable differential equationI am having some trouble with the following separable differential equation$\frac{dx}{dt}=x\left(x-1\right)\left(x-3\right)$with initial condition $x\left(0\right)=2$. What is $\underset{t\to \mathrm{\infty }}{lim}x\left(t\right)$?I am having some trouble with the logarithmic laws when solving for $x\left(t\right)$

Hayley Bernard 2022-07-23

### Solving separable differential equations by formal computationsWhen solving a separable differential equation we move from the original equation$N\left(y\right)\frac{dy}{dx}=M\left(x\right)$to$N\left(y\right)dy=M\left(x\right)dx$Then we integrate both sides. My question is how precise is the expression $N\left(y\right)dy=M\left(x\right)dx$ ? is it a formal writing to simplify computation and get quickly into integrating both sides or is it a precise mathematical expression that has a precise mathematical meaning but goes beyond an introductory course on differential equations? Thanks for your help !

Paxton Hoffman 2022-07-18

### Tricky Separable Differential EquationPlease guide me:${y}^{\prime }+ay+b=0$(a not zero) is supposed to be separable and has solution$y=c{e}^{-ax}-\frac{b}{a}$Here is my start to this problem:$\frac{dy}{dx}+ay=-b$ is as far as I can go with this. How should I go about separating x and

suchonosdy 2022-07-17