ow the processs on separating the variables of the given DE ich that all terms containing x must be grouped with dx and l terms containing y must be grouped with dy. (xy + x) = (x²y² + x² + y² + 1)y'

Q: c) Find i. y' for x4 + y = 17 If x = 3 and y = 3, calculate y'

A: Here is the solution of above problem.

Q: ( - 2 () 4 a) dx³ + yw = 0 dx, b) x(y")³ + (y')ª – y = 0 c) y = xy' + (y')² + 1

A:

Q: Differentiate. x3 7) y = X- 1

A: Given : y = x3x-1

Q: Solve for the orthogonal traysctories x*(3k-x) - ky². = x ? 2

A:

Q: Find if x'y+y' = x dy dx A) 2x+2y 1-2xy-2y B) x2 1-2ху C) x2+2y D) O A O B O c O D

A:

Q: Y₁' = 3Y₁ + 1/₂ ل3 Y/₂ = 2y + 2y₂

A:

Q: dy if y= 3x Find dx х2+1 3(1-х2) D) (x2+1)2 3x2-3 A) 3. 3 B) 2x C) (x2+ 1)2 х2 +1

A:

Q: & lve by line x=+I and line y I

A: The integration of [(x2+xy)dx + (x2+y2)dy].

Q: By Lagrange's formula, prove that y =y3-0-3(ys-y- 3) + 0-2 (y_ 3 -y_5).

A:

Q: дz If z = f (x, y), find and for the following equation ду дz дх

A:

Q: = Express by ¡y¡ in the terms of x variables where y; = C₁jx; and bicik = 8%.

A: express bijyiyj in the terms of x variables where yi=cijxj             ...i and bijcik=δik…

Q: Find mZX (3y-71° X Y (2x) O W (x+181° (3y + 1)º

A: Solve for the angle X

Q: Consider the difference equation = Xn+1 Xn+bsin(2xn). Determine any fixed points of this difference…

A: Given difference equation isxn+1​=xn​+bsin(2πxn​) -----------------(I)Step 1: First, we find the…

Q: For which values of ß does {(1,0, ß),(1,2,–3)(B,1,0)} span R'?

A: If spans the same subset of R³, the vectors must be linearly dependent to each other.    Therefore,…

Q: I Eliminate the arbitrary constants y = x²+ ax + be*

A:

Q: Q.5: Derive reduction formula of f cot"x dx. Also prove that -cot*x cot2x S cotx dx = + InSinx + C.…

A:

Q: If fxy (x, y) = , ,0 2) =

A: Given,fXY(x,y)=x+y27 ; 0<x<2 , 3<y<5

Q: Prove that if x+y=%30 then y=-x

A: See the attachment

Q: 5 一=A+hxsl-x dy=?

A:

Q: Find the value of x x - 2 x - 1

A: claim- find the value of x

Q: particle started at A(1,0) circled the origin once  an d returned toA(1,0) .what were the change in…

A: Given: A particle started at A(1,0) circled the origin once  and  returns to A(1,0)

Q: Evaluate and simvlify y'. sec 2w y sec 2w + 1

A: Given: y=sec2wsec2w+1

Q: Show that if X gamma(r, A) and Y ~ gamma(s, ) independent, are then X + Y is gamma(r + s, ).

A: X~Gammar,λ fx=λrΓre-λxxr-1,     x>0, r>0, λ>0 Y~Gammas,λ fy=λsΓse-λyys-1,     y>0,…

Q: Express by ¡y; in the terms of x variables where y; = C¡¡x; and bicik = 8k.

A: Given equations as yi=cijxj and bijcik=δki

Q: For the given function 6=x²yz C=3x²yi+yz²j-xzk and Find 82 Sysz (c) at point (1, -2, -1).

A:

Q: form y = mx + b that repres

A: From given graph it is clear that

Q: Divide the interval of y=-1+1/2cot(2x-3pi) into 4 equal parts for both periods and calculate the…

A: Given function, y=-1+12cot2x-3π The period of the function is the minimum length of x after which…

Q: Find those constants a, b, c, d such that f(z) = ax² + bxy + y² + i(x² + cxy + dy?)

A: The given function is : fz=ax2+bxy+y2+i(x2+cxy+dy2)