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3 years ago

4. Find the values of x and yfollowing:complex number. (X,Y) = (3,2)-(1,4)

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

7 0

Answer:

x=2 and y= -2

Step-by-step explanation:

(x,y)=(3-1,2-4)

(x,y)=(2,-2)

x=2

y= -2

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Show that an implicit solution of 2x sin2(y) dx - (x2 + 11) cos(y) dy = 0 is given by ln(x2 + 11) + csc(y) = C.

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From the question we are told that

The equation is $2x sin^2(y) dx - (x^2 + 11) cos(y) dy = 0$

Generally the goal of this solution is to prove that the implicit solution of the differential equation above is $ln(x^2 + 11) + csc(y) = C.$

First Step

Differentiate the solution with respect to x

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=> $0 = \frac{2x}{ x^2 + 11} + [-\frac{cos(y)}{ sin(y) }* \frac{1}{sin(y)} ]\frac{dy}{dx}$

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multiply through by $sin^2(y)$ , $x^2 + 11$ , $dx$

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4. Find the values of x and yfollowing:complex number. (X,Y) = (3,2)-(1,4)​

4. Find the values of x and yfollowing:complex number. (X,Y) = (3,2)-(1,4)