Family of verial parhols whoe verios lie n te oma ine othe cure y' -1y'+0s (19) = at COS (0.).

Q: 9 y = Arctan(2+x 1-2x 10. x = cos't ; y = sin't

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Q: 7- cos y dx + (x siny - cos²y)dy = 0

A: Note: as per guidelines we support one question in one request . kindly repost next question in next…

Q: 3(sin y- cos y)* dy cos y

A: We need to solve the integral ∫3sin y-cos y2cos ydy Now, we have an identity a-b2=a2+b2-2ab Hence,…

Q: find ƒx , ƒy  . 1. ƒ(x, y) = ln (x + y) 2. ƒ(x, y) = sin^2 (x - 3y)

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Q: [y²e + √elnx dy-(xy) sin² ( * O) + (---) (-) sin² tan² ,dx ey+Inx dy y(In2x-lny) -ex. dx = 0

A: We can solve this using substitution method of ordinary differential equation

Q: e) у- In 2 2xe dx 1 dx xcos(In x) /2 g) y= V1+cos4xdx

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Q: Find y, of (D² + 1)y = sec x = In |cos x| (cos x) - x sin x В y = x sin x + (cos x) In sec x = x sin…

A: Please see the below picture for detailed solution.

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

A: Given limy→0y+ycosy4sinycosy

Q: (cos 2y-3x²y³) dx +(coS 2y -2x sin 2y-2x*y) dy =o 2.[2x + y cos (xy)] dx + x cos (xy)dy=o 3. (xy²+…

A: Using method of exact differential equation.

Q: dy x COSY dx - siny=0 6 xcos)

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Q: That question please

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Q: 1 of these 2 differential equations: dx dy O and (2x sin y +y) dx + (x² cos y + x)dy = 0 What are…

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Q: (a) Find the differential equation of the family of spheres of radius r with Centre on the xy-plane…

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Q: -IVEN DIFFERENTIAL EQUA quation 1) dx + (x -u) du = 0

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Q: 3. + x° siny-y と3 cOS C fond C Frc foeと y g りな in) fy

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Q: A solutipn of the Ordinary Differential Equation x'y" - 2xy' + (x? + 2) y = 0, x > 0 is defined by…

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Q: Integral of sin^3 y cos^5 y dy

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Q: e'sin" ) *sin sech (x-2) * sech (x-2) F (x) = Explain why g(z) - 0, is not differentialble at a2. if…

A: Here, fx=exsin3πxx2sechx-23

Q: sinh (u+v)=sinhycoshr+ coshuxsinhv

A: Use hyperbolic function

Q: Let 2x2+ 3x+Y a) Find the differential dy when x = 1 and dx=0.1 %3D b) Find the difiea ial dy when…

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Q: x(1- siny)dy = (cosx cosx – cosy -y)dx. 0.

A: The given differential equation is x1-sinydy =cosx-cosy-ydxyπ2=0

Q: dy +cosh 2y=0 dx 3. sin x ans: sinh 2y-2cosx3Dc

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Q: arctan(*) 1+e2kx dx =? A) arctan(e*)In|cos(arctan(e*)| + S in |cos(arctan(e**)dz]+ c kekx 1+e2kx B)…

A: ∫arctan(ekx)1+e2kxdxFormula to be used :1.Intergration  by parts2.Substitution3.ddxarctan(ekx) =…

Q: dy x(2 In x+1) 1. dx siny+y cos y

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Show that a harmonic function u (x, y) satisfies the formal differential equa- = 0. azdz

A: Consider the provided question, Given, ux,y is harmonic function. We have to show that ∂2u∂z∂z¯=0.…

Q: 4. (y² cos x - 3x²y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e

A: exact differential equation

Q: 19. i) Differentiate sinx with respect to x from first principle 1+3x dy ii) Find, dx when a) y (x…

A: Part i,Given,          fx=sinx

Q: 4. ox x cost at cost of 3 procuct nule J cost dt + cost at [sint] + x CSLX)ま(x) = Sin x - 0 + x cos…

A: To determine ddx∫0x3 x cos t dt.

Q: 1. sinx siny dx + cosx cosy dy = 0 %3D 2. [2xy cos(x2) – 2xy + 1]dx + [sin(x²) – x²]dy = 0 3. y?dx +…

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Q: メ +Y y+ In(x) -InCy) = メーY x> transform this diffenenhial equation in to seperalble differential…

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Q: -y cos xy - 4x) dx + (- x cos xy + 2y) dy o 1. = 0 2x+3y Zar+3y 2.

A: Proceed as shown below...

Q: ( cos nx dx= [cos %3D nx cos nx dx 0. %D

A: We have to find the integral of cos2nx dx from 0 to 2pi.

Q: 1- Find the equation of the tangent to the 2(x2 + y2)2 25(x2 - y?) at (3,1) 2- Find dy/dx for y =…

A: (1) given equation is                                              2x2+y22=25x2-y2,   at (3, 1)…

Q: y = Arctan ( sinh (2x)); y' = * O - 2 coshx /(1+ sinh^2 (2x)) O 2 coshx / (1+ sinh^2 (2x)) O 2/ cosh…

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Q: y² cos x - 3x3y - 2x) dx + (2y sin x - x³ + Iny) dy = 0, when x = 0, y = e x² - 1) dy = ((1 + x)2 -…

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Q: 7 Find (b) x siny-ycosx-y 1.

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Q: Find the differential dy of the given function. y = x cos 2x dy Submit Anguer X

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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: HW 0If y=tanx show that- yl" =-2 Siny coży

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Q: b) x siny-ycos x- y = 1.

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Q: dt What is the linearization of h(x)= 6+ at x=1? cos (1 -1)

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Q: Find the 5th order differential of the function y=xcosx.

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Q: the initial value DE y' - ytanx = sinx, y(0) = 1 cos 2x 5-cos 2x %3D 4 sin x 5-cos 3x 5-cos 2x В) у…

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Q: 9. (siny - ysinxy)dx + (xcosy-xsinxy)dy 0

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 7. Given y = sinh(e* +tan (2x)-cos (x+1). Consider | dy (i) et 1 dx 1+e2x 1+4x 1-(x+1) dy (ii) ex 1…

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

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

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Q: 1. (sin y — y sin x)dx + (сos x + х сos y — у)dy 3 0 %3D 2. (1— 2x2 — 2х) у' %3 4x3 + 4ху 3. (Зx cos…

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Q: Hei! If y cos(xy) dydx = x=0 y=0

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Q: 3) [ - cos dydx X X In 8 In y 4) S S e**y dxdy

A: (3) we have to evaluate ∫π2π∫0x21xcosyxdydx let  u =yx ⇒dudy=ddyyx         =1xddyy=1x⇒du = 1xdy…

Q: (2e" sin(y) – 4y)dr + (–7x - e cos(3)dy = 0 not exact

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