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Makovka662 [10]
3 years ago
5

Solution for dy/dx+xsin 2y=x^3 cos^2y

Mathematics
1 answer:
IrinaVladis [17]3 years ago
3 0
Start by putting the dy/dx by itself
\frac{dy}{dx}+xsin2y=x^3 cos^2y \\ \frac{dy}{dx}=x^3 cos^2y-xsin2y
then multiply both sides by dx
dy=(x^3cos^2y-xsin2y)dx
which you can now integrate both sides with respect to their variable, so the left by y and the right by x
y+ c_{1}= \frac{x^4}{4}cos^2y-\frac{x^2}{2}sin2y+c_{2}
let c = c2-c1 and you find
y= \frac{x^4}{4}cos^2y-\frac{x^2}{2}sin2y+c
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zepelin [54]
The equation of circle is
(x-4)^2+(y-5)^2=R^2
if you replace the (13, -1) with x and y the R^2 will be 117
(x-4)^2+(y-5)^2=117
3 0
3 years ago
Adam and.his dad share the cost of the meal in the ratio of 2:3 adams dad pays 52.50 what is the to cost of the meal?
larisa86 [58]
Adam pays for 2/5 of the meal so his father pays for 3/5

3/5  = 52.50
1/5 = 52.50 / 3 = 17.50

so cost of the meal = 5 * 17.50 = $87.50


7 0
3 years ago
A number y is 5 times the value of a number x. A line graphed in a coordinate plane represents the relationship between x and y.
tekilochka [14]
Y=5x
Y is the slope
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8 0
4 years ago
Brianna makes $9.60 per hour. She works 5 hours and 40 minutes on Saturday. On Sunday, she worked for 1 hour and 10 minutes less
fenix001 [56]

Answer:

93.12

Step-by-step explanation:

If brianna works 5 hours and 40 minutes on saturday. you can turn this into a decimal. The decimal would obviously be 5.40

5.40 x 9.60 = 51.84 on saturday

Like saturday. you can do the same thing and turn them both into decimals.

5-1 means she would have 4 weeks

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4.30 x 9.20 = 41.28 on sunday

41.28 + 51.84 = 93.12

3 0
3 years ago
Read 2 more answers
In Wellington, a city of 360,000 citizens, there has been an outbreak of vampires and werewolves There are 3,000 people infected
Alex17521 [72]

Answer:

0.0286 or 2.86%

Step-by-step explanation:

The total number of people that have werewolfism is 21,000.

Of those 21,000, 600 also have vampirism, while the remaining 20,400 do not. Therefore, the probability that someone has vampirism, given that they have werewolfism is:

P(V|W)=\frac{N_{V\cap W}}{N_W}\\P(V|W)=\frac{600}{21,000} \\P(V|W)=0.0286=2.86\%

The probability is 0.0286 or 2.86%.

3 0
3 years ago
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