Solve the initial value problem. 5 dx +4x e 4Xy + y 5x 4y e 4xy. -- dy = 0, y(2) = 1 y2 The solution is (Type an equation using x and y as the variables. Type an implicit solution.)

Q: 2x2 + xy + 2y2 - 4 = 0

A: Follow the steps.

Q: Write y=2(0.5x-6)(6-24x) in the form y=k(x-r)(x-s) and give the values of k,r,s.

A: We have to factor out 0.5 and -24

Q: dP/dt = P - P2 ; solve by seperation of variables.

A: It is required to solve the given differential equation using separation of variables. dPdt=P−P2

Q: Solve for y ax=cy - z

A: Solve for y: ax=cy - z This can be done as follows:

Q: Solve for y. x= (3y+5)/(7y-1)

A: To solve for .

Q: Is (-2 , 2) a solution of y = 1/2x + 3 ?

A: The given equation is,

Q: solve for x and y

A: We have to solve for x, y.

Q: Solve for y. (4y + 7)* 13x + 15 19x - 15 (10y-37)'

A: 1) Opposite angles of a parallelogram are equal 2) Sum of all the interior angles is 360 degrees. In…

Q: 2. obtain the general solution. a.(D - 3D + 2)y = 2x – 9x2 + 6x. b.(D2 + 4)y = 5e - 4x. c. (D² + 4)y…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve for X if B(I + CX)A−¹ = = C.

A:

Q: Solve (mz-ny)p+(nx-lz)q=ly-mx

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.