ft 17. y ln sin x | >0 then y 1nsin OS(-v) (X-24S Find an equation of the t: SIh

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A: Given. xsiny=cosy We have to derive the differential equation dydxxcoty+1=-1 from the given…

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Q: 91/ Find y 1. Y rx) 2/x tanh Cr 2. Y-Cosh' (2Jx tI ) (2Jx+I

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Q: d cosh(3x? + 1) and (b) dx d (sinh x tanh x). dx Calculate (a)

A: Given: a ddxcosh3x2+1b ddxsinhx tanhx

Q: If y = atan (0) „x =a sec (0) prove or disprove d'y 3 cot(0) 4a dx

A: y =a tan3θ   ,   x = a sec2θ     'y' is a function of 'θ' and 'x' is also      a function of…

Q: dy dy implicitly in terms of x and y. Hence, find d.x Given sin(xy) + 3e 3y?. Find dx when x = 0 and…

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Q: Q3. Solve the following DEs. 1. y dx 1 dy 1 Iny = sinx (In y)?

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Q: = cos(xyz) + ln x5 - sinh y² + 3z at P(-1, 3, 0) Given: f(x, y, z) af(x, y, z) Find: дz 0 1 3 0 None…

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Q: z= cos y Using the substitutions the DE (3cos y - 5x) dx – 2x?tan y dy=0 reduces to dz= - sin y dy

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Q: (B)(10M) Evaluate (y(x)) dx y(x) = cot (csc(sec(In x))) %3D

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Q: a) Given that y= sinh'(cos(x)), provide detailed derivation to obtain the expression of dx

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Q: olve the following initial value problem using variation of parameters: y" + 4y = cos 3x y(0) = 0,…

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Q: dy - y = x? sin(x) dx

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Q: x = e' sint,y = e² cos t at t = 0

A: We need to find radius of curvature.

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Q: Q2: a) Find dy/dx for xy cot(xy)?

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Q: rin 2 cosh x dx. Vsinh? r + 4 sinh r + 2

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Q: d) y = 5 ln 3 ; x=2 cost sin t e) y=r° cos (2e') ; x= 3-1

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Q: ex + e-X 2 A sinh B cosh © tanh D) sech

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Q: . The voltage V and the current i at a distance x from the sending end of the transmission line…

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Q: Advanced Math dy/dx=sin(x)+1 using euler method h=0.01 y(0)=1 y(1)=?

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Q: 4. csc x dy= cot?y dx when X= T, y- %3D

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Q: H.W Solve the question deferential equation by using separation varibles dy/dx=sin(x+y)+cos(x+y)

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Q: Let y = tan(2x + 2). Find the differential dy when x = 4 and dx = 0.2 Find the differential dy when…

A: We have to find change in y

Q: . If y = Arctan sinh e then dy/dx is A. e sech e C. e sinh ex B. e* csch e D. e cosh e

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Q: V3 Find cosh 0, tanh 0, coth 0. 2 B) If sinh 0 =

A: Given that sinhθ=32 We know that cosh2θ-sinh2θ=1 ⇒ cosh2x=sinh2x+1 cosh2θ=322+1=34+1=74 coshθ=72…

Q: I"y= sin?t+ tant, x=- In(- cost)– e sinr, find the value of y whent=". 4

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Q: S S cos (y³) dæ dy 0 < x < y? and 0<y<1 4 decimals

A: The double integration of cos(y3); 0&lt;=x&lt;=y2; 0&lt;=y&lt;=1.

Q: L {t®e-%t} L{e-t cos 2t} L {2e3t sin 4t}

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Q: (y? cos x – sin x)dx + (2y sin x + 2)dy = 0 (Exact)

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Q: ∫sin^6 y cos^4 y dy, limits from 0 to pi/2

A: Consider the definite integral ∫0π/2sin6y cos4y dy to solve this integral, use the below reduction…

Q: Show every detail of your solution. Differential equatioens. siny dx + (x - sin? y)dy3D0

A: The given differential equation is: sin y dx+(x-sin2y)dy=0⇒sin y dx=-(x-sin2y)dy⇒dxdy=-(x-sin2y)sin…

Q: Given: y = arctan sinh find y' at x = 2 %3| cosh 1 %3D 1+sinh? 1 cosh 1 O y = %3D 1+sinh 1 cosh 1…

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Q: (e^x+lny+(y/x))dx+(x/y+lnx+siny)dy=0 solve using exact equation (diff eq)

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Q: Q4. Test for exactness and solve (ycosx – cosy)dx + (sinx + xsiny)dy = 0

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Q: sin z VI+ cos I

A: To evaluate: ∫sin x1+cos xdx

Q: dy Given y= cos-1(tanhx), determine dx sechx (A 1-tanhx B none of the given choices c) - sechx (D…

A: The given function y=cos-1tanhx

Q: ind general solution by separating the v y3 = (y* + 1) cos x %3D dx.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: +5y = sin x, y(0.3)=5 and using a step size of h = 0.3, Approximate the value of y(0.9) dx 2. %3D…

A: Given 3dydx+5y2 = sinx with y(0.3) = 5, h = 0.3

Q: Q1: Find dx dy of xy = x + cot y

A: We using implicit differentiation

Q: Find dy/dx of the following: a. y=sinh-5x b. y=sinh-e* c. y = cosh¹ √√x

A: To find dydx for the given y.

Q: Q\ Find for y = tanh 1(coth(x)) dx O -2 O -5 -4 7. O O O O

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Q: Solve for C using the form f(x,y)=C. Given [2x + ycos(xy)] dx + x cos(xy)dy = 0; f(1)-pi/6. decimal…

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Q: V3 Find cosh 0, tanh 0, coth 0. 2. B) If sinh 0 =

A: Given: sinhθ=32 To find: coshθ, tanhθ, cothθ. Solution: We know that, cosh2θ-sinh2θ=1 Putting…