the solution of the this differantial equation. y''' - (y'')3 = 0

Q: Calculate y" and y'''. y = 4t 3 - 9t 2 + 7

A: Given that  y = 4t3 - 9t2 + 7 We have to calculate y'' and y'''. First we find y'. y' = ddty     =…

Q: Match the D.E. with a direction field: y' = t+y – 1, , y' = sin(t)sin(y), , y' = 2 – y, , y' = t(2 –…

A: NOTE: Horizontal axis is t-axis  .

Q: 6) Solve for y: 3"*1 = 9"-1

A:

Q: (2xy² + 2y) + (2x²y + 2x)y' = 0

A:

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Solve the equation y''' - y'' - 2y'= 0

A:

Q: Solve homogenous equation y'''' - 2y'' - 3y' - 2y = 0

A: Find the auxiliary equation and solve that

Q: Solve of the following Clairaut equation y=((x+4)y')+(y')^2

A:

Q: solve y''-y'=xex  using undetermined coefficient. The characteristic equation will be r2-r=0

A:

Q: y"" + 3y'' − 4y = 0. Find y . Please check the equation carefully and then start

A: We have given equation y''''+3y''-4y=0   Auxiliary equation of differential equation is  m4+3m2-4=0…

Q: Solve for y in two ways. y' - 5y = -3

A:

Q: Solve homogenous equation y'''' - 8y''' + 24y'' - 32y' + 16y = 0

A: y''''-8y'''+2y''-32y'+16y=0  operation form   D4y-8D3y+24D2y-32Dy+16y=0  D4-8D3+24D2-32D+16y=0…

Q: find (y" ) for the following equation 3x²-2y'-y=6 at point (2,1)

A: Take the first derivative of the whole term than find y' at given point after this calculate second…

Q: d) Solve the equation for all roots x' +1 = 0

A:

Q: In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y. 6y²y +…

A: To solve the following equation for y'. 6y2y'+30xy+6x2y'=5y2+25xyy'

Q: find the homogenous linear equation of the function y = x2 sinx+ e5x

A:

Q: x3y'''+2x2y''-2xy'=2x-4 Find the general solution of the equation.

A:

Q: What is the special solution of the equation y0̅ ? y''' + 5y'' + 12y' + 8y =5sin2x +10x2 - 3x + 7

A: Find the attachment

Q: y = sec- (Arcsec (V) + e %3D

A:

Q: How to solve for the equation y''' + 4y'' + 5y' + 2y = 4x + 16 using Undetermined Coefficient…

A:

Q: 3xy''+y'-y=0 solve the equation

A:

Q: .3 t +y3

A: Derivative is below

Q: Solve:  y’’’ – 4y’’ + y’ + 6y = 0

A:

Q: Find y'. 9) y = (5x-2)(3x + 1)

A:

Q: What is the equation of the curve passing through the (1, 16) and having a slope at any point (x,y)…

A: Given- 2xyx2+3 To find- The equation the curve passing though the (1,16) and slope at any point x,y…

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.