(a) Find dr dy given that x²y + sin xy = 0.

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A: Using the formula of derivative of quotient of two functions, that is, . And using , we have,

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A: y=sinxe-x. Then we have to find desin-1ydlnx.

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A: ∂z∂x=∂∂xysin2x+1+x2ex+cosxtan-1y4+1lny6+137=∂∂xysin2x+∂∂x1+x2ex+∂∂xcosxtan-1y4+1lny6+137=2ycos2x+1+x…

Q: 1) = sinx + ytanx dy dx 2) x = y + x sin? 3) Prove that (2xy – 9x2)dx + (2y + x² + 1)dy = 0 is…

A: 1   dydx=sinx+ytanx        the equation can be written as standard form        dydx-ytanx=sinx…

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Q: 2. (2.xy – sin x}dx+ (x² - cos y ldy =

A: We will solve the given differential Equation.Below find the solution in the image.

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A: The objective of the question is determine the derivative of the given function and choose the…

Q: 1. Find the differential of w = x cos y – y sin x.

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Q: Determine the General Solution of sin x sin y dx + cos x cos y dy = 0.

A: Given differential equation is sin x sin y dx+cos x cos y dy=0

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A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: x4 1 If u = tan(- + y° x² – y² - then show that ди du + Y- ду X - = sin2u dx

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Q: dz 1) Find ifz = 3 cos x – sin(xy),x =y = 3t - dt

A: NOTE*** As per bartleby guideline for more than one question asked only first is to be answered…

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A: We have to use first shifting property and Laplace transform of integration property to Laplace…

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A: Differentiate the given function with respect to 'x' and find 'dy'.

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A: As per the guidelines  we can answer only one question at a time. If you want to get the answers  of…

Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. A cosx siny = c B sinx cosy…

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Q: Solve the DE sinx siny dx + cosx cosy dy = 0 by separation of variables. (A) cos y sin x =C sin y B…

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Q: Take the derivative of this integral.

A: Given

Q: 17. Determine the value of fx dy - y dx, where x(t) = (cos 31, sin 3r), 0 ≤ ≤n.

A: The given integral is: ∫X x dy - y dx, where Xt=cos 3t, sin 3t, 0≤t≤π The components of the…

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Q: BERNOULL니 dx -X = x siny dy ANSWER; hus -) § losy + Ce) X= -

A: dxdy-x=x3/2sinyx-3/2dxdy-x-1/2=siny                        1 Substituting x-1/2=v…

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Q: 7. (a) Find dy/dx, when x = a(1 + cos 0), y = a (0 + sin 0). (b) Differentiate xcosx w. r. t.…

A: Differentiation using Logarithms: When a function appears as an exponent of another function we make…

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Q: (3) Let 4 = x²y² + x sin y, find 2 dy in terms of x and y; dx (4) Find the equation of the tangent…

A: For the given problem, there are two questions. But according to rules of Bartleby only the first…

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -5x – (sin(x))² dy =

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Q: Find the general solution of (cos cos y +ycos x ) dx + (sin sin x – x sin sin y ) dy = 0

A: The given differential equation is incorrect and hence the correct differential equation is as…

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Q: 5) Find 业一 dy for y cos(x) sin(x)

A: We have to find the first derivative.

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Q: Find the general solution of the equation cos x cos y dy – sin x sin y dx = 0

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Q: 3. Find dy dx y= 3 Sin.

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A: solution.

Q: Find the differential dy of the function y = 4 sin (2x). Provide your answer below: dy=dx

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A: