Part 2: Find the particular solution To solve the non-homogeneous differential equation, we look for functions annihilated by the differential operator (a multiple of the operator given above) x

Q: Find the root of an equation f(x)=x²-2x-5 between 0 and 4, using Secant method, accurate to 3…

A: , We have to find root using secant method.

Q: Use Newton’s method with initial approximation x1 =-1to find x2 , the second approximation to the…

A: The given function is , f(x)=x4-x-1 with initial approximation x1=-1. To Find: Second approximation…

Q: What’s the difference between differential and inferential Calculus? And How do they apply to…

A: DIFFERENCE BETWEEN INFERENTIAL AND DIFFERENTIAL CALCULUS:…

Q: Hw/ Find d if :☺ y =(x+2)*at @ y=X-1 at x=2 (2

A:

Q: * 31² +t+4 dt t' +t

A:

Q: b. If x = t- 3, find L[(xe

A: Consider the given information. Lxe-x Put the value in the function. Lxe-x=Lt-3e-t+3=Lte-te3-3e-te3

Q: y = x³log3x , find y'

A: We need to evaluate the derivative of the following function y = x3log3x

Q: One boat is 20 nautical miles due North of point A traveling toward point A at a rate of 15 nautical…

A:

Q: Solve for ‘x’ and ‘y’ where x + y = a – b, ax – by = a2 + b2

A: To solve the equation for x and y.

Q: Obtain the real root of the equation x^3-3x=0, Using newton Raphson method, after third iteration.

A: The given equation is x3-3x=0Orfx=x3-3x The method is given by xn+1=xn-fxnf'xn Let x0=0 be the…

Q: function f(x)=2x^3-5x^2+3x+2, find the equation of the tangent line at x=1.

A:

Q: m'+4m (1-m*)7

A:

Q: Explain what it means if a' . b = 0

A:

Q: 4+°メ -> X-X %3D dt メ+3

A:

Q: The height of an adult can be predicted from their height as a child. If a child is i inches tall at…

A: Any values for i and w can be substituted in the function, H(i,w) = 150 iw to calculate the value of…

Q: Find f if ∇f = 4xy i + (2x^2 + 8y) j

A: Here I am attaching image so that you understand each and every step.

Q: Find the Laplace transform of the function t < 2π sen(t), 0 < t < π 0, π < f(t) = ; ƒ(t +2π) = f(t)

A:

Q: In each case, find the general solution, using real-valued functions: a. y'"-2y""+y" = 0. b. y" +…

A:

Q: Find 1he Taylor Series OF The following Funchion: ① F(x)= メ4+ ¥-2 @ a-1

A: To find The Taylor series expansion of the given function.

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.