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3 years ago

Help please! ty sm. image attached below

Mathematics

1 answer:

Bond [772]3 years ago

6 0

Answer:

its 5

Step-by-step explanation:

it's in between them

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Find a particular solution to y" - y + y = 2 sin(3x)

leonid [27]

Answer with explanation:

The given differential equation is

y" -y'+y=2 sin 3x------(1)

Let, y'=z

y"=z'

$\frac{dy}{dx}=z\\\\d y=zdx\\\\y=z x$

Substituting the value of , y, y' and y" in equation (1)

z'-z+zx=2 sin 3 x

z'+z(x-1)=2 sin 3 x-----------(1)

This is a type of linear differential equation.

Integrating factor

$=e^{\int (x-1) dx}\\\\=e^{\frac{x^2}{2}-x}$

Multiplying both sides of equation (1) by integrating factor and integrating we get

$\rightarrow z\times e^{\frac{x^2}{2}-x}=\int 2 sin 3 x \times e^{\frac{x^2}{2}-x} dx=I$

$I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx -\int \frac{2\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx-\frac{2I}{3}\\\\\frac{5I}{3}=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{3}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{3} dx\\\\I=\frac{-2\cos 3x e^{\fra{x^2}{2}-x}}{5}+\int\frac{2x\cos 3x e^{\fra{x^2}{2}-x}}{5} dx$

8 0

3 years ago

Given:

Colt1911 [192]

Your question is very confusing but x=8 so just plug in 8 where you see X

3 0

3 years ago

Select the example which illustrates the distributive property of 7 × 39

Lemur [1.5K]

Answer:

d) 7(30 + 9) = 7(30) + 7(9)

Step-by-step explanation:

Distributive method:

a(b + c) = ab + ac

Here given:

7 × 39

Among the option's:

1st option (7 + 3) (7 + 9) is wrong, changes final answer.

2nd option (7 × 30) + 9 is wrong, changes final answer.

3rd option 39 × 7 shows commutative property of multiplication.

4th option show distributive method.

3 0

1 year ago

Read 2 more answers

A rectangle is four times as long as it is wide. If it has an area of 36 square inches, what are its dimension?.

vivado [14]

Answer:

b on edge

Step-by-step explanation:

3 0

3 years ago

A. Find the slope of the line that passes through each pair of points. Show your work.

Alina [70]

Answer:

i think its 4

and srry dgndfugnugfnugbnukdhfbgkusdf

Step-by-step explanation:

3 0

2 years ago