Without solving, classify the following equations as to: separable, homogeneous, exact, linear, Bernoulli, or Ricatti x(dy/dx)= ye^x/y − x

Q: In(x) dx Vx

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Q: © Tategrate 12 dx 3.

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Q: Each side of an equilateral triangle measures 3 cm, with a possible error of 0.1 cm. Using…

A: This question is taken from the differentiation in which we have to find the relative error in the…

Q: To apply the integration factor method, does the differential equation have to be linear?

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Q: arccos 2x dx 3.

A: We will use integration by parts. The solution is given below.

Q: A closed rectangular box is to have an inside length of 8 meters, an inside width of 5 meters, an…

A: We need to find the material needed to make a container.

Q: 4. fx(1-x) dx

A: We can find the integration as below.

Q: 14. √ √2-√x dx

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Q: A trough of water is 8 meters in length and its ends are in the shape of isosceles triangles whose…

A: Given:- A trough of water is 8 meters in length and its ends are in the shape of isosceles triangles…

Q: x*Arcsinxe

A: we have to find

Q: The sides of a square decrease in length at a rate of 1 m/s. At what rate is the area of the square…

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Q: Suppose that 2 Joules of work is needed to stretch a spring from its natural length of 40 cm to a…

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Q: PLEASE USE EXCEL. 4. Find all solutions of e²x = x + 6, correct to 4 decimal places using the Newton…

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Q: The height and base radius of a circular cylinder are measured as 15 cm and 4 cm, respectively, with…

A: Note the formula and result . Volume of cylinder is . Suppose f and g is a differentiable function…

Q: differential

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Q: 3. f Arccos 2xdx

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Q: I'm stuck on this question and I don't know how I should be approaching this. What should I do?

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Q: One side of a right triangle is known to be 20 cm long and the opposite angle is measured as 30°,…

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Q: 2. y" + 2y' + y = e-* In x

A: General solution of non homogeneous differential equation is sum of complementary part and…

Q: ty - (t+ 1)у + у %3Dt?

A:

Q: If the radius of a circle increases by 3%, use differentials to approximate the increase in the area…

A: radius of a circle increases by 3%,

Q: Solve ∫xn ln x dx in tegration by Parts?

A: Given:               ∫xn ln x dx Apply integration By Parts:              ∫xn ln x dx=ln x∫xn…

Q: Solve by Integrating Factor: y' = 1+3y cotx

A: The solution is given as

Q: A vertical cylinder is leaking water at a rate of 8m^3/sec. if the cylinder has a height of 10m and…

A: In a vertical cylinder water is leaking at a rate of 8 m3/sec. dVdt=8 Height of the cylinder is 10…

Q: Solve by the method of successive approximat ion

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Q: V9.22

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Q: Find the approximate surface area of a sphere of radius 5.02 cm. (SOLVE BY USING DIFFERENTIAL…

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Q: | (о + 1) In (») da

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Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 15 cm/min.…

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Q: Integrate by Gaussian quadrature (n=3). dx Ji 1+x*

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Q: A mothball loses volume by evaporation at a rate proportional to its instantaneous area. If the…

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Q: Suppose a woman has enough “spring” in her legs to jump (on earth) from the ground to a height of…

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Q: The edge of a cube was found to be  60cm with a possible error of 0.1 cm. Use differentials to…

A: The volume of cube, V = x3, where x is the edge of the cube.

Q: sinh 2x cosh 3xdx.

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Q: Express he equation n" = 4y in poar corinaes.

A: Given equation x2=4y

Q: If integration using u-substitution technique is used to solve for ∫2e2x1−e4x dx/square root of…

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Q: The measurement of the radius of the end of a log is found to be 28 inches, with a possible error of…

A: Solution:- It is given that the radius of the end of a log=28 inches. ⇒r=28 inches possible…

Q: If a ball is thrown vertically upward and with an initial velocity of 10 m/s, it’s velocity at the…

A: To find: The velocity at the highest point reached by the stone. Given: The initial velocity of the…

Q: for dx

A: Given integration is : ∫exdx To find the value given integration by parts.

Q: A Ball is thrown Vertically into the air at 120 m/s ,after 3 secanother ball is thrown.what initial…

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Q: (0.2t25x+3x²) dx

A: We have to find the value of ∫050.2+25x+3x2dx using the Trapezoidal rule We take that the number of…

Q: aur + 2xyury + y*uyy = 0

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Q: ydx – xdy Solve the differential equation 2xdx=- x2. + y? by forming integrable combinations.

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Q: 2. Air is leaking from a spherical-shaped advertising balloon at the rate of 26 cubic feet per…

A: Let r be the radius and v be the volume of balloon, Given dvdt=26 cf/minuteswe know…

Q: A patient is drinking  0.6 pint of orange juice every two hours. At this rate, how many quarts of…

A: Dimensional analysis: A method of analysis in which physical quantities are expressed in terms of…

Q: y' + y = 5 sin(2x)

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Q: The side of an equilateral triangle increases at the rate of 2 cm/hr. At what rate is the area of…

A: Value=?

Q: the width and length of rectangle are measure in cm as 6 and 18 respectively with an error of at…

A: