-2 S.f(x)dx -4 a. b.5°2f1x) dx C.5f(x) dx

Q: x sin x dx = kr, then the value of k is equal to

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Q: Q1: A) Find the nearest distance from the point (-4,2) and the line 2x - y 5 d?y dy and dx B) Find…

A: Formula:  1. The nearest distance between the point (x0, y0) and the line ax + by + c = 0 is given…

Q: Given that 2x2 - 5y = 3xy. Find the value of dy/dx at the point (-2,2)

A: Given : 2x2 - 5y = 3xy

Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is dx

A: let the function is f  first differentiate function f with respect of x df/dx then differentiate…

Q: Obtain the general solution to the equation. dy y +7x +1 %3D dx

A: Here we have to find general solution of given differential equation

Q: what is the general equation to the equation dy dx² dx

A: Here we have to find the general solution of the given differential equation,…

Q: d²y c. Find dx? if y= sin’0 , x= cos’e

A: We have y=sin3θ    and x=cos2θ We need to find d2ydx2 Now,  dydθ=3 sin2θ ddθsinθ=3 sin2θ cosθ dxdθ=2…

Q: Find all values of the constant c so that .2 (xy + 1)dy dx = 4 + 4c.

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Q: The equation (x - 3y)dy = (2y + 4)dx is exact.

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Q: The equation AT*y²-J¤+1 )dy = 0 1+8x y? -)dx +( is an exact equation if A=

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Q: dy dx? Find in terms of x and y. x°-y° = -3

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Q: (2x² – ye")dx – e dy = 0. - -

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Q: Find the general solution of the followin d² y equation 5 + 4y = 8 +5. dx2 dx

A: General solution is sum of particular integral and complimentary function.

Q: what is the general equation to the equation d°ycK) dy 2. dx² dx

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Q: Find the general solution of the equation, d²y dy 4 + Зу %3D0 dx dx?

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Solve the following equation. a) d²y dy 2 3y = 0 dx? dx

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Q: what is the order and degree of the equation:   (d^3y/dx^3)^2/3 = x+6 dy/dx

A: Given that: d3ydx323=x+6dydx

Q: If x3 + y3 = 2, find the value of at the point (1,1). dx?

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Q: S = ÷ S gle) de, then 9 x /1 - xª dx 4

A: The question is taken from the calculus in which we have to solve the integral of given question We…

Q: +3x2 b. Find (y)? = sin³(cos³(* *3*)) %3D dx 2

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Q: Give a geometrical explanation of why

A: Consider the given integration as ∫aafxdx=0

Q: d²y dy +4 dx² + 4y = 0, when x = 0, y = 1, y' = -1 dx

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Q: + (1—п)P(х)и %3D (1 — п)Q("). dx Use an appropriate substitution to solve the equation 6 -y = æ14

A: Introduction: The solution to the differential equation of the form y'+p(x)y=q(x) is given by,…

Q: dx – x' csc 2 ydy - dy tan 2 y

A: Given that:

Q: what is the general equation to the equation d°ycx) dy dx² dx

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Q: Find all values of the constant c so that (2x + y) dx dy = 3.

A: Given: ∫01∫0c2x+ydxdy=3 To find value of c. Solving the given integral, we get…

Q: C: 2 +xy y?e2 sin x dx

A: The given differential equation is a Bernoulli ODE of the form y'+p(x)y=q(x)yn, whose general…

Q: d. Bernoulli's equation y' +y = e*y+ 1. 2. xdy + ydx = xy?dx

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Q: The equation (tan²x+3y²)sec²xdx + (3tan²x + y²)dy=0 can be solved by

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Q: Q of y = e(cosx+4tanx+5t-tx²) dp

A: We have to find derivative of y with respect p.

Q: d?y c) dx2 dy 4-+ 4y = 6e²x + 3 sin x dx

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Q: Solve four questions of the following DEs dx 2 - y = e*/2 dy

A: compare this DE with  so here we have

Q: If y-2xy 21, then dy dx at the point (2,-3) is

A: We have to find dydx at the point 2, -3 for the equation or expression: y2-2xy=21 We know the…

Q: d. (b) dx 은P sin(3x) d2 (c)

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Q: Given y - xy? – x²y=2. Then, at the point (1,2), -is Blank 1 dx

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Q: dy If x=sin y, find the value of at the point dx 2 3

A: Since we have been given that x=sin y -(i) and our aim is to find the value of dydx at the point…

Q: dy %3D dx = (9x + 4y + 1)?

A: The given equation is, dydx=9x+4y+12                     .........1 Let 9x+4y+1=v…

Q: dy y- tan 1-The general solution of the diff. equation is dx x A- B- y = 20 C- not of the above

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Q: (D² – D − 2)y = cos x

A: Here is the solution:

Q: d’y If y= cos 2x, then at dx? x = 0

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Q: (уe*у — 2у3)dx + (хе*У — 6ху? — 2у)dy %3D0 -

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Q: а) (у — х)dy + y dx %3D0 dy у-х+1 b) dx у-х-6

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Q: If z = y sin(xy), find at the point (-1,1) d) --1 ay a) - 0.5 b) +1 c) - 2 g) None of them e) 0

A: The given function is z2=y sinxy and the point is -1, π2, 1. Evaluate ∂z∂y as follows. ∂∂yz2=∂∂yy…

Q: d?y dy + 4- 2- +12 y 2x2 sin(x) - e2x dx2 dx

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Q: dy Find dæ |(7,9)=(-1,-1) if e sin (x? – xy) = y² – 1.

A: Given,          xsinx2-xy=y2-1

Q: For which value of a the equation dz dy dx =1 -1 does hold? a. V3 O b.V3 Oc. V2 O d.2

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Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

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Q: B D 3. d²y and -both dx? dy 1. At which of the five points on the graph in the figure above are dx…

A: Given, The graph between y and x  Fiven points A,B,C,D,E  are given on the graph

Q: dy Find the equation of the solution to dx x°y through the point (x, y) = (1, 2).

A: