Roger Smith
2022-01-19
Answered

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Lakisha Archer

Answered 2022-01-19
Author has **39** answers

1. Let,

Let,

2.

Let,

3.

Put,

The equation reduces to

Now let,

asked 2022-06-22

Construct an example of a first-order differential equation on $\mathbb{R}$ for which there are no solutions to any initial value problem.

Could anyone please get me started on this. I am struck as to which direction to go

Could anyone please get me started on this. I am struck as to which direction to go

asked 2022-06-16

Consider

$\frac{dy}{dx}+p(x)y={\int}_{0}^{\mathrm{\infty}}y(x)dx.$

I want to solve above differential equation. Can I consider right hand side as constant to solve this?

I know RHS is a constant but it also involves solution y, which might create trouble unless solution is known to us.

Also is it possible to find solution to given ordinary differential equation which is independent of y.

$\frac{dy}{dx}+p(x)y={\int}_{0}^{\mathrm{\infty}}y(x)dx.$

I want to solve above differential equation. Can I consider right hand side as constant to solve this?

I know RHS is a constant but it also involves solution y, which might create trouble unless solution is known to us.

Also is it possible to find solution to given ordinary differential equation which is independent of y.

asked 2022-05-25

Trying to solve this seemingly simple first order non-linear differential equation:

${y}^{\prime}+{y}^{2}=\mathrm{cos}2x$

Considered separation of variables and bernoulli methods but figured it's not applicable. Please I need a hint.

${y}^{\prime}+{y}^{2}=\mathrm{cos}2x$

Considered separation of variables and bernoulli methods but figured it's not applicable. Please I need a hint.

asked 2021-02-01

Find Laplace transform for

$x"-3{x}^{\prime}+2x=1-{e}^{2t}$

asked 2021-03-08

Solve differential equation ${y}^{\prime}+y=x,\text{}y\left(0\right)=1$

asked 2022-03-25

Find a second-order lincar equation for which

$y\left(x\right)={c}_{1}{e}^{3x}+{c}_{2}{e}^{5x}+\mathrm{sin}\left(2x\right)$

is the general solution

is the general solution

asked 2021-02-08

Find the inverse Laplace transform of $F(s)=\frac{(s+4)}{({s}^{2}+9)}$

a)$\mathrm{cos}(t)+\frac{4}{3}\mathrm{sin}(t)$

b)non of the above

c)$\mathrm{cos}(3t)+\mathrm{sin}(3t)$

d)$\mathrm{cos}(3t)+\frac{4}{3}\mathrm{sin}(3t)$

e)$\mathrm{cos}(3t)+\frac{2}{3}\mathrm{sin}(3t)$

f)$\mathrm{cos}(t)+4\mathrm{sin}(t)$

a)

b)non of the above

c)

d)

e)

f)