A) 4y"+x²y=0, y(0) = 2, У (0) - 0. B) y'+o* y=0, C) у'+2у -8у%3D0, y(0) = A, У (0) %3 В. y(0) = 1, У (0) %3 8.

Q: Convert the second order ODE x''=sin(2t)x'+4tx to a first order system of two equations. Use y for…

A: Given the second order differential equation  x'' = sin 2t x' + 4tx   --------(1)…

Q: 3. Variation of Parameters у" — 2y' + у |

A:

Q: Use separation of variables to find a product solution to the following: ди ди x==y дх ду u=c X…

A: Solution :

Q: Find f„(x, y). f,(x, y), Sa( – 2, 4), and f,(4, - 3). 5. fх, у) 3D 2х —-5ху 6. f(x, y) = 5x + 7y

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: 4. y(2x2- 2x - y)dx + xy dy = 0

A: We will solve the problem

Q: If x^y is equivalent to y – x, what is the value of y^(y^^y)? a. y-2x b. y- 2y c. y* – 2xy +x² -y d.…

A: SOLUTION-

Q: y" + 5y' - 4y = 0

A: SOLUTION-

Q: (D 3)²y = e*.. %3D

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Fx) = メ- Sinx fax) メー Sinx %3D tind absolute max and min Prom -iT, ->

A: Solution is given below:

Q: Is r =b^2 + 1 is proportional?

A: If the rate of decreasing or increasing of two variable is same, then they are proportional.

Q: у"" - 8y" + 41у'- 234 е 3х, у"(0) %3D 187, у'(0) 3D 29, у(0) 3D 10 3x.

A: Now we solve this below

Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

A: As per our guidelines we are supposed to answer only one question i.e. the question no (A). For the…

Q: dy y(x + y) dx 6) x(x – y)

A: Note : We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 6 2 5x y 18. 10x* y

A:

Q: у' -у - 2у3 36(t -2)+ e%; у(0)-D0, у(0)-3 y(t) = D %3D

A: NOTE: Refresh your page if you can't see any equations. . take Laplace

Q: y' + y = -I 4re 1+ yez discussed so far. Gue

A:

Q: A solid concrete porch consists of 3 steps and a landing. The steps have a tread of 11 inches, a…

A:

Q: y 3. y'= ✓ {yln(y)-x=cy} x + y

A:

Q: 24. у (2х —у + 2) dx + 2(х — у) dy %3D0

A:

Q: 3) y`+y=xe*

A:

Q: Which of the following equations is best represented by the table below? 1 1. 4 16 3 64 4 256 Dy =…

A:

Q: true or false prove your answer If (an) is Cauchy and p is a number such that for infinitely many…

A: Given that              an is a Cauchy sequence and p is a number such that for infinitely many…

Q: 1.) d³s dt3 2.) x 3.) ди ду d²v dr² + U = EQUATION S 3 1 + (- 2² z əx² dv + t dr 13 ds dt 4 - st = 0…

A: Since you are asking multiple questions. We are answering only first three questions as per our…

Q: > Edit PDF Q::Min z' = 29 y,+ 45 y2 subject to 2y,+ 8y2 2 60, 4y,+ 4y2 2 60, • Combine P > Send…

A: We will solve this problem by using constraints

Q: y" - 3y' + 2y = 5 ex

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: The solution of the IVP, y' = -2xy, y(0) = 2, is: %3D

A:

Q: aN) 1 dx ) M 5 ду y

A:

Q: Fit a linear model In(P) = In(Po) +r (t – to) through the data points %3D (ti, In(P:)), i= 0,…

A: Let the linear equation be y=a+bx. To determine the values of the constants a and b, solve the…

Q: 5. y' = 4x2+y2 xy %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: x² + 3x + 2 y' = y(1) = 4 у — 2

A: y'=x2+3x+y-2 ; y(1)=4

Q: (x+2y-)み + (2メ+y+)dy-o let メーuー1, dx = du yev-l, dy edy UNE 1 LINE 2 レINE 3 (1-1+ 2y- 2-1) du +…

A:

Q: %3D у — Зу + Зу - у %3D 4е" y y =

A:

Q: (бх - Зу +2)dk - (2xх - у -1) dy 3D0 |

A:

Q: x2 z = *1 - 2xy У

A:

Q: y'= (6x-2y-3)10 When 9polyg the vavable change u= - 6x-2y-3 the eqn converts 'into? Oa du = (-2u" +…

A:

Q: Determine the particular solution of the ODE y" + Inx = -1 O a. (-0.5x * Inx) + 0.25x O b. None of…

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.