generals336
2020-11-16
Answered

Solve differential equation
$(6x+1){y}^{2}dy/dx+3{x}^{2}+2{y}^{3}=0$ , y(0)=1

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asked 2022-09-26

What is a solution to the differential equation $\frac{dy}{dx}=\frac{1}{x}+1$?

asked 2022-07-12

How do we solve the following differential equation?

$(y{}^{\prime}{)}^{2}+p(x)(1+{y}^{2}{)}^{3}=0$

$(y{}^{\prime}{)}^{2}+p(x)(1+{y}^{2}{)}^{3}=0$

asked 2021-05-23

Find the differential of each function.

(a)

(b)

asked 2022-09-07

How do you find the particular solution to $yy\prime -{e}^{x}=0$ that satisfies y(0)=4?

asked 2022-02-18

a) Solve the differential equation:

$(x+1)\frac{dy}{dx}-3y={(x+1)}^{4}$

given that$y=16$ and $x=1$ , expressing the answer in the form of $y=f\left(x\right)$ .

b) Hence find the area enclosed by the graphs$y=f\left(x\right),\text{}y={(1-x)}^{4}$ and the $x-a\xi s$ .

I have found the answer to part a) using the first order linear differential equation method and the answer to part a) is:$y={(1+x)}^{4}$ . However how would you calculate the area between the two graphs ($y={(1-x)}^{4}$ and $y={(1+x)}^{4}$ ) and the x-axis.

given that

b) Hence find the area enclosed by the graphs

I have found the answer to part a) using the first order linear differential equation method and the answer to part a) is:

asked 2020-11-23

Solve differential equation
$6(y-{x}^{2})dx+xdy=0$

asked 2022-09-23

How do you solve the differential equation given $f\prime \prime \left(x\right)={x}^{-\frac{3}{2}}$, f'(4)=2, f(0)=0?