Y" - Y = { 2, %3D Ost Y(0) = Y'(0) = 0, %3D %3D t21

Q: (D² + 2D- 3)y = si %3D

A: Here we use auxlary equation to find complimentary  solution.

Q: [ph, Joh. sh It

A:

Q: x = X, +(-

A: let the initial velocity be v0 , and the initial distance be x0 .and in time t , the new velocity…

Q: 1. Find the equation of the tangent line to x? + y? = 9, at the point (2, v5). %3D

A:

Q: Integrating Products and Powers of Trigonometric Functions Evaluate the indefinite integral. / sin't…

A: topic- indefinite integral

Q: Given the following table: X f(x) Calculate f(1,3) by Lagrange Order 3! 0,0 1,0 0,5 2,119 1,0 2,910…

A:

Q: Generate a 3D plot based on the equation z=sin(x) +cos(y), both x and y range from 0 to 2 pi. Please…

A: [x,y]=meshgrid(0:2*pi); z=sin(x)+cos(y); surf(x,y,z)

Q: a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t,…

A: Given, a projectile launched at t = 0 second that follows a path x=30t, y=-5t^2+80t where x…

Q: Does there exist a regular closed curve y in the plane R² which cuts the plane into 3 regions, i.e.…

A: No such curve exists.This is from the famous JORDAN CURVE THEOREM.Jordan curve theorem: It states…

Q: particle started at A(1,0) circled the origin once  an d returned toA(1,0) .what were the change in…

A: Given: A particle started at A(1,0) circled the origin once  and  returns to A(1,0)

Q: What is the Laplace equation and its applications?

A:

Q: what is the second derivation of the euler lagrange equation?

A:

Q: 3 cosh 5t 4 sinh 5t

A:

Q: 4t.

A:

Q: Consider the differential equation: √√√y + y = When solving the previous equation, the parametric…

A: What is Ordinary Differential Equation: An ordinary differential equation is an equation that…

Q: Find the points of intersection between r =2 cos20 andr=- %3D 1- cose

A: To find the intersection point two curve we have to find r,θ by solving given curve.

Q: Determine the equation of the isogonal trajectories of the curves y = ce* if the angles of the…

A:

Q: An object moves in a straight line so that its velocity after t seconds is v(t) = 2/t – t. Determine…

A: Given, Velocity of the particle v(t) = 2t -t Particle is moving in the straight line We have to find…

Q: method determine ? unique üOl zy Use Seperation of Variables to to the Laplace quation for x6l0.7)…

A:

Q: escape velocity

A: We shall assume an initial velocity in a radial direction so that the motion of the particle takes…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.