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2 years ago

PLEASE HELP ME I WILL DO ANYTHING!!

Mathematics

1 answer:

il63 [147K]2 years ago

6 0

Answer:

i’m pretty sure it’s because they make 180°

Step-by-step explanation:

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Solve the following differential equation: (2x+5y)dx+(5x−4y)dy=0 *Hint: they are exact<br><br> C=.

Tpy6a [65]

Answer with Step-by-step explanation:

The given differential equation is

$(2x+5y)dx+(5x-4y)dy=0$

Now the above differential equation can be re-written as

$P(x,y)dx+Q(x,y)dy=0$

Checking for exactness we should have

$\frac{\partial P}{\partial y}=\frac{\partial Q}{\partial x}$

$\frac{\partial P}{\partial y}=\frac{\partial (2x+5y)}{\partial y}=5$

$\frac{\partial Q}{\partial x}=\frac{\partial (5x-4y)}{\partial x}=5$

As we see that the 2 values are equal thus we conclude that the given differential equation is exact

The solution of exact differential equation is given by

$u(x,y)=\int P(x,y)dx+\phi(y)\\\\u(x,y)=\int (2x+5y)dx+\phi (y)\\\\u(x,y)=x^2+5xy+\phi (y)$

The value of $\phi (y)$ can be obtained by differentiating u(x,y) partially with respect to 'y' and equating the result with P(x,y)

$\frac{\partial u}{\partial y}=\frac{\partial (x^2+5xy+\phi (y)))}{\partial y}=Q(x,y))\\\\5y+\phi '(y)=(5x-4y)\\\\\phi '(y)=5x-9y\\\\\int\phi '(y)\partial y=\int (5x-9y)\partial y\\\\\phi (y)=5xy-\frac{9y^2}{2}\\\\\therefore u(x,y)=x^2+10xy-\frac{9y^2}{2}+c$

5 0

3 years ago

Six sets of eight objects each

puteri [66]

Answer:

6 × 8 = 48

Step-by-step explanation:

6 sets of 8 objects, to get the answer you have to multiply

6×8 = 48

7 0

3 years ago

The sum of two numbers is 136. One number is 51. What is other? What are the common factors of these two numbers?

Vsevolod [243]

75 // common factor is 3

8 0

3 years ago

Solve the inequality 12(1/2x-1/3)>8-2x

gizmo_the_mogwai [7]

Answer:8(1/2x - 1/4)> 12 - 2x

a.x > 7

b.x > 7/3

c.x > 5/3

d.x > 5/3

Step-by-step explanation: Solve the inequality 12(1/2x-1/3)>8-2x

3 0

3 years ago

(7-4n) x 6= I need the answer as quick as possible

Paraphin [41]

Answer:

42 - 24n

Step-by-step explanation:

(7-4n) 6

Distribute

7*6 - 4n*6

42 - 24n

4 0

3 years ago

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