plutions of (e + In y +2) dx + ( + In z + sin y ) dy

Q: (2y cosx + sin“ x)dx = sin x dy ,when x =",y = 1 5y= 1 %3D X 2

A: 2ycosx+sin4xdx=sinxdy,   x=π2,   y=1:A first order linear ODE has the form of y'x+pxy=qxLet y be the…

Q: 2. Integrating factors found by inspection.: y(x² – y² +1}dx-x(x² – y² –1}dy = o

A: We have to solve the given differential equation.

Q: 2-) Calcu late +he folloming integ rols by using the integration met hods a)| (hx" +8x²+ 15x) dx dx…

A: We are allow to solve one que at a time

Q: 1. Integrating Factors Found by Inspection: y(x + y'exy)dx + x(y'exy - x)dy + = 0 when y(0)

A: y(x+y3 exy)dx + x(y3exy-x)dy=0xy dx -x2 dy +y3[x exydy+yexydx]=0xy3ydx-xdy+[x exydy+yexydx] =0xyy dx…

Q: lim Y+ Y Cos y Yo 4 Siny cosy

A: Given limy→0y+ycosy4sinycosy

Q: using separation variable 1.) x cos^2 y dx + tany dy = 0

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Q: Q8 Integrate by parts: x sin x dx

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Q: 2 xy dy – (r' + 2y³) dx = 0 xsin 2 dy y sin- -x | dx

A: Homogenous differential equation: Let us consider differential equation of the form…

Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

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Q: sin x sin y dx + cos x cos y dy = 0 2 mydx — пхdy

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Q: Double integral of x^3 cos(x^2y) dxdy ? for x=1/y, x=1/2 & 1<y<2

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Q: 8. cos xsin y dx +(3xy+sin x cos y) dy C:boundary of the region lying between the graphs of y= and y…

A: Given:  ∫Ccosxsinydx+(3xy+sinxcosy)dy...................(i) where C is bounded by y=x4  and  y=x To…

Q: (ysin x+xy cos x)dx+(xsin x+1)dy = 0 Ans. xy sin x+ y = c

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Q: 1 √x 0 1-y f(x, y, z) dz dy dx

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Q: itegral 6ze dy dx dz

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Q: 5. (x2 + y² + 1)dx + x(x – 2y)dy = 0, x = 2,y = 3 %3D

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Q: dx 9. J, 16 Vx - 2 3 10. x V9- x dx 11. [ sinycos ydy dx 12 J. (x – 3) x- x 13. [ x +x

A: Use substitutions to integration

Q: Find dy. y= 2 In (3+x*) dy =|

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Q: 7 xsiny dx + Cx²+1)cosy dy = 0, yC)=TT/2

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Q: 3. Find dy/dx of: x'(x-y)-x-y evaluated at x = 0.001 and y = 0.002

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Q: Reducible to Exact (y3+2exy)dx+(ex+3y2)dy=0

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Q: 7. What is the order, degree and linearity of: (dy + 3x dx, d°x = ey dx3 8. What is the order,…

A: Note: since you posted multiple questions. As per our guidelines we are supposed to solve one…

Q: Value of constan y=mx+nis differential 2²y+13 dy ५ 3

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Q: y = cos“ x, Find dy/dx O dy = - sin(x*) O dy = 4 cos3 x sin x dx O dy = - 4 cos x sin x dx O dy = -…

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Q: dx -- 2 = 3y - 2 when x = 1, y = 1 dy

A: the given differential equation is: ydxdy-2=3y2-2 it is given that when x=1,y=1 we have to find…

Q: Erample: dy I dx if y sin !!

A: Given: The function is  y2-x2=sinxy   To determine: The implicit derivative dydx of the function…

Q: SiSis dx dy dz Evaluate xyz

A: The given integral is ∫1e∫1e∫1e1xyzdx dy dz.

Q: y (y^3-x) dx + x(y^3+x) dy=0_At· muon

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Q: (2siny + 1)dy : 4 and y(0) = 5. dx What is x when y = x?

A: Given:  2siny+1dydx=4, y0=π2 Using Variable separable  2siny+1dy=4dx Integrating both sides, we get…

Q: dz Find dz -3 and of z = x³ In(1 + xy). dy

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Q: Using separation Variable. 1.) In x dx/dy = 2 / xy^3

A: Given differential equation lnxdxdy=2xy3

Q: b) y = [ dx Integrate. 13 +5

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Q: Integrating factor for xy dx + (2x2 + 3y2 - 20) dy = 0

A: topic - integrating factor of differential equations

Q: Find the differential dy of the glven function. (Use "dx" for dx.) y = 3Vx + dy = Submit Answer

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Q: tion to (1+ x²) dy + 2xy = 4 that satisfies the initial condition y(0) = 0. dx %3D %3D

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Q: Geberal solution of (3xy +3y - 4)dx+(x+1)²dy

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Q: 1. siny dx + (x - sin² y)dy=0 2. x + ( 1+x)y = e -× sin2x dx

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Q: 7- cosy dr+(x siny-cos y)dy=0 8- (1+y)dx+(2xy+ y +1)dy = 0

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Q: approximation of I = [" f(x)dx using composite Simpson's rule with n=4 is:

A: In this question, we evaluate the definite integral by using the composite Simpson's rule for n=4.

Q: dy ху* - сosx sin x . У (0) -2 y(1–x²) dx

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Q: (siny - ysinx) dx +(cosx +xcosy) dy =0

A: We will use the method of exact differential equations.

Q: siny µ(x,y) = ye is an integrating factor of ( - 2e-Xsinx)dx +( cosy+2e Xcosx. -)dy = 0 Select one:…

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Q: 3. sin y(x+sin y)dx + 2x² cos ydy = 0 0: uhen v-2

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Q: Q3) Evaluate triple integral dz dx dy.

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Q: 3. Find dy/dx of: x'(x-y) -x-y evaluated at x = 0.001 and y = 0.002

A: The given equation is x2x-y2=x-y2 at x=0.001 and y=0.002.

Q: IIT /2 pcos x ex-X sin(x + y)dy dz dx Jz /6 Jo

A: Given integration is: ∫π6π2∫0cosx∫xπ-xsinx+ydxdydz  To find the value of integration.

Q: 34. e4x cos 2x dx

A: Solution:Given∫ e4x cos 2x dxFormula:∫udv=uv-∫vdu∫sin ax dx=-cos axa+C∫cos ax dx=-sin axa+C∫eax…

Q: B. Integration by Parts 1. xcosx dx

A: We know that integration by part formula is given as  ∫uv dx = u∫vdx - ∫dudx∫vdxdx To evaluate: ∫x…

Q: *= 1+?-,y = -x²,x > 0 2. = x³(y – x)² +2, y1 = x,x > o у 1. %D = x³ (y – x)2 + dx , Υ1 - x, x > 0 dy…

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