4. Solve, using the method of undetermined coefficients: y" – 4y = (x² – 3) sin 2x

Q: 2. Solve using any technique y" – 2y – 3y = sin r

A: First we find CF and then PI(by using the formula of PI of sin(ax)) and further find general…

Q: d²y Show that y = sin(2t) satisfies . + 4y = 0 dx²

A: 1) To prove the given equation 2) To find the value of w

Q: Determine a suitable form for Y (t) if the method of undetermined coefficients is to be used. y(4) +…

A:

Q: Find all solutions between 0 and 2n for the following equation:

A:

Q: On another planet, after t seconds, Cora hurls a projectile with initial velocity vo and angle from…

A: On another planet, after t seconds, Cora hurls a projectile with initial velocity v0 and angle θ…

Q: c) Solve 2 cos(t) = -√3 for all solutions. t integer

A:

Q: 6) Solve. y" – 4y = (x² – 3) sin 2x

A: The answer is given by using method of variation of parameters as follows :

Q: Determine the form to be used for x when using the method of undetermined coefficients. x" + 2x = 8…

A: Given DE is  x"+2x=8sin(2t) ......(1)

Q: Solve (t2+4) d = (x2+36), using separation of variables, given the inital condition (0) = 6. x=6 tan…

A:

Q: Find the form only of the particular solution. Do not solve for the coefficients. SHOW WORK. V31…

A: We will find out the required solution.

Q: Find the distance d between z1 = (8+ 8i) and z2 = (-8+ 8i).

A:

Q: solve for y, xyey+tan-1(x2+y2)=π/4

A: The given equation is

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.