What is a general solution to the differential equation $y\prime +2xy=2{x}^{3}$?

frobirrimupyx
2022-09-14
Answered

What is a general solution to the differential equation $y\prime +2xy=2{x}^{3}$?

You can still ask an expert for help

asked 2022-01-22

Find the general solution to these first order differential equations.

$3(3{x}^{2}+{\u0443}^{2})dx-2xydy=0$

asked 2022-02-17

I am trying to solve a differential equation of the type $x{}^{\u2033}=-x+{x}^{3}$ . Now when I first integrate it with respect to time, $t$ , then I am getting ${x}^{\prime}=x({x}^{2}-1)+C$ , which is a non-linear first order differential equation. Now if the constant happens to be zero then I can solve it by partial fraction method but as life is not easier that constant term tagged to the $x}^{\prime$ is actually not zero. So how to proceed forward in this case.

Thank you!

Thank you!

asked 2022-05-29

If I can write out the characteristic equation for such circles, then I can find a desired first-order differential equation. The problem is how to write the characteristic equation?

asked 2022-01-21

Solve for G.S./P.S. for the following differential equations using the method of solution for Bernoulli and Ricatti differential equations.

$9x{y}^{\prime}=(y-1)(y+2);\text{}\text{}{y}_{p}=-2$

asked 2020-11-26

Solve differential equation

asked 2022-06-02

I am taking an Engineering Math class. When it comes of differential equations with y2 included in the question I am lost on the procedure used to solve it. Bernoulli method does work because its not in form required and homogeneous equations doesn't work because of different degrees.

These are a few that had me stumped (Solving any one will be appreciated.)

1. ${y}^{\prime}=({y}^{2}+9)/(xy+3y)$

2. $y\cdot \mathrm{ln}(x){y}^{\prime}=({y}^{2}+36)/x$

3. ${y}^{\prime}=({x}^{2}{y}^{4}-{x}^{2})/{y}^{3}$

Thanks!

These are a few that had me stumped (Solving any one will be appreciated.)

1. ${y}^{\prime}=({y}^{2}+9)/(xy+3y)$

2. $y\cdot \mathrm{ln}(x){y}^{\prime}=({y}^{2}+36)/x$

3. ${y}^{\prime}=({x}^{2}{y}^{4}-{x}^{2})/{y}^{3}$

Thanks!

asked 2022-09-23

Solve the following first-order linear differential equations? $y\prime -4{x}^{3}y=8{x}^{3}$