Find a general solution to the DE (D^2 + D- 6) y = 5e^2t by: a. Undetermined coefficients b. Reduction of order

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A: Given: I=∫x3-1xdx    ...1 As we know that; ∫11+x2dx=tan-1x+C

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Q: Find the general solution using Reduction of Order: y''=2lnx

A: Explanation of the answer is as follows

Q: integral -{cay,a> 91-) Evoluate te nplhas)ss - 24x<0, Ocyc1, -16241} . where

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A: This question is based on the linear approximation of a function.

Q: Q-3-Edaluate the fallowing Integration 1- X3 x21 2. 2- X+1

A: Use the partial fraction to solve the given problem.

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A: Given: The ball is dropped from the height 10 meters. The ball bounces 34 of its initial height.…

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A: Given that,The path of a basketball is given byy=2.12+2.01x-0.38x2, 0≤x≤4.6wherex is the horizontal…

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Q: Explain the working procedure of Equation Reducible to Homogeneous form.

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A: Solution:

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Q: 2 x²log₂ (x) dx S

A: Please show complete solution. (Use integration by parts)

Q: The length and width of a rectangle are measured as 35 cm and 28 cm, respectively, with an error in…

A: To determine the maximum error in the area.

Q: Solve using trapezoidal and 3rd level romberg integration

A: Given integration is ∫08x2dx Using trapezoidal rule: Let f(x)=x2 Let we divide the interval [0,8]…

Q: The length and width of a rectangle are measured as 25 cm and 36 cm, respectively, with an error in…

A: Given length of a rectangle, l =25 cm           Width of a rectangle, w=36 cm We know that,  Area of…

Q: Find the smallest positive root by using fixed- point method f (x) = In(3x)– x² +2 %3D with three…

A: Given: fx=ln3x-x2+2. We have to find the smallest positive root by using fixed-point method with…

Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: (1) 1-tank x=sech'x

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: 9. Differentiate y = /sec³ (5t2)

A:

Q: The dimensions of a closed rectangular box are measured as 80 centimeters, 60 centimeters, and 100…

A: Let the dimensions of a closed rectangular box are: Length=L=80 cmWidth=W=60 cmHeight=H=100 cm And…

Q: Find the root between (2,3) of x3+ - 2x - 5 = 0, by using regular falsi method correct to three…

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Q: ди ди x====u+Yay ?х

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Q: I am having trouble understanding how to graph triple and double integrals.

A: Draw the region of integration E.

Q: Find the smallest positive root by using fixed-point method f(x) = In(3x)– x² +2 with three…

A: we have f(x)=ln(3x)-x2+2=0 x2=ln(3x)+2x=ln(3x)+2using fixed point iterationxn+1=ln(3xn)+2take…

Q: What kinds of changes occur in the Coefficients of a Nonbasic Variable when the original model is…

A: Answer is explained below

Q: f(x) = x - e-x?

A: Use bisection method to find a root.

Q: Use the method of Variation of Parameters to solve. SHOW WORK. у" - у' — 2у %3D 2е-t

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Q: Find the general solution using Methods of Undetermined Coefficient and Variation of Parameters.…

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Q: If a ball is thrown vertically upward with a velocity of 25 m/s, then its height after t seconds is…

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Q: A 100-gallon tank contains 5O gallons of water. Brine, containing 2 Ibs of salt per gallon, flows…

A: Ans =38

Q: Assume that Laguna Lake has a volume of 480km^3 and that its rate of inflow (from Lake Huron) and…

A:

Q: 3t2 Int dt

A: Given that: ∫3t2lntdt

Q: A golfer makes a successful chip shot to the green. Suppose that the path of the ball from the…

A: Please refer to the image below

Q: Se²(x² + 2x dx by using the integration by parts. Q4 Evaluate ,2x

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Q: Consider a lake with a volume of 8 billion ft³ and an initial pollutant concentration of 0.25%. An…

A: Given that: Volume of lake=8 billion ft3=8000 million ft3Initial concentration of pollutant =…

Q: i Explain. Reducible the working procedure of Equation to Homogencous. form.

A: Given: Procedure of equation Reducible to Homogeneous form.

Q: The length and width of a rectangle are measured as 38 cm and 34 cm, respectively, with an error in…

A:

Q: If a ball is thrown vertically upward with a velocity of 15 m/s, then its height after t seconds is…

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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: Can you give me one real life problem about integration?

A: Real life problem about integration Integration: integration is a method where we add the slices to…

Q: The Area of a triangle with vertex (4, 3), (4, -3) and (7, -3) can be obtained through double…

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