The Particular Integral of the differential equation (D² + 8D + 9)y = 11e is O PI = e o PI=블er 11 O PI = 137 O PI= 136 e&

Q: xy dx + (1+ x²) dy = 0 ху

A: We have to solve

Q: Use integration to find the general solution to the differential equation: dx %3D y – 4

A: Given,         The differential equation is dydx=x-2y-4 .

Q: 7. х%3D Аy? — In By

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Q: By separating variables, find the general solution of the differential equation dvc = - dt RC' where…

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Q: (3ху2 — у?)dx + (2х?у - 2у)dy - 0

A:

Q: Use integration to find a general solution of the differential equation             dy/dx = ex/(4 +…

A: Given ,           dydx=ex4+ex

Q: Use integration to find a general solution of the differential equation.

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Q: cosy dx + (1 + e¯*)siny dy = 0

A: By separating the variables on each side  we can integrate them easily. Given, cosy dx+(1+e-x)siny…

Q: x3+ xy² + y)dx + (y³-

A:

Q: 6

A: Now,  we will find the particular integral.

Q: Use integration to find a general solution of the differential equation        dy/dx = 4x2 + 7

A: Given ,     dydx=4x2+7      dy=4x2+7dxThis is variable seperable form .

Q: Use integration to find a general solution of the differential equation                  dy/dx =…

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Q: Use the integration to find the general solution of the differential equation dy = 3x². dx

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Q: The integral factor for the Linear Differential equation 4 - !y= x0 is -I Select one: O True O False

A: For the first order Linear differential equations:

Q: The particular integral of the differential equation (D² + 5D+8)y =5_ O 8 O 5 o o o o

A:

Q: The differential equation of the form = sin x has a degree equal to dy %3D Enter your answer as a dr…

A: We have to find out degree

Q: Solve the differential equation Integrating Factor by Linear Equation: dy — у — 5х* — Зх? + 2х — 0…

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Q: 7. (xy² – 2y)dx + (3 – 2xy²)dy = 0

A:

Q: Determine the equation of the curve passing through the origin in the from y = f(x) which satisfies…

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Q: The Particular integral of the differential equation (6D² + 1)y = 27x is O 27x O 27x + 6 12x + 27 O…

A:

Q: Calculate the solution to the differential equation -ry 0 with bound- dr dy %3D ary values y = 1 and…

A: We have to find the solution

Q: Find the general solution of the differential equation and check the result by differentiation.…

A: Given the differential equation:

Q: What is the auxiliary equation associated with the second order linear differential equationd^2x…

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Q: dy Show that y 1 - + 2 is a solution of differential equation dx 1 -

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Q: The particular integral of the differential equation (D² + 2)(D+3)y=2+sin² x + cos? æ is 6

A:

Q: The integrating factor of the differential equation 2xy dx + (4y + 3x^2) dy = 0 is . Does not exist

A: Ist question was incomplete I have to do the second question Please repost ist question correctly

Q: Use separation of variables to find the general solution of the differential equation. dy 5x2 + 7 dx

A: Given:

Q: Use integration to find a general solution of the differential equation                  dy /dx = x…

A: Given: dydx=x1+x2 Multiply both sides by dx dy=x1+x2dx

Q: The degree and order of the differential equation 1+ is = dy dz о 12, 1 O 1, 15 O 15, 1 O 3, 1

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Q: Find the differential equation having as solution of y = x sin(xtc) .

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Q: What is the integrating factor of the differential equation (5xy + 4y² + 1) dx + (x² + 2xy) dy = 0?…

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Q: x*y' = -x³y – csc (xy)

A: Given- x4y'=-x3y-cscxy To Find- The general solution of the above differential equation.

Q: Find the general solution of the differential equation and check the result by differentiation.…

A: On simplification, we get Now integrating on both sides, we get

Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: The given family of curves                    y=Acos12x+Bsin12x , where A and B are constants.

Q: Use integration to solve the differential equations where: dy dx 2xv4x2 + 1 1) y' =

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The integrating factor that transform the differential equation y" +y' + Axy = 0 into a…

A: Given - The differential equation y'' + 1xy' + λxy = 0 To find - The integrating factor that…

Q: 4. Зx2! x3 8(у + 1) %3D 0 y+1

A:

Q: dy :-y = xy2 dx

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Q: Find the general solution of the differential equation and check the result by differentiation.…

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Q: 4te dt TOT

A:

Q: The roots of an auxiliary equation are m1=4, m2=m3=-5. What is the corresponding differential…

A: If the root of the auxiliary equation is m1=α and m2=β, then the corresponding differential equation…

Q: Use integration to find a general solution of the differential equation                      dy/dx =…

A: Given the differential equation is   dydx = 2x(4x2 + 1).   dy =  2x(4x2 + 1)  dx Integrating on the…

Q: What is the simplest form of the integrating factor for the differential equation y' +…

A: Given: The differential equation is y'+2sec xy=cos2x. To find: The correct option for the…

Q: (x-C,)' +y° = C;?

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Q: (2х — 5у + 3)dxх — (2х + 4у — 6)dy %3D 0 - -

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Q: Obtain the solution of the differential equation (3 sin y − 5x)dx + 2x^2cot y dy = 0

A: Given the DE is 3siny-5xdx+2x2cotydy=0.

Q: Use integration to find a general solution of the differential equation       dy/dx = 2e3x

A: Consider the given differential equation as dydx=2e3x

Q: Show that the differential equations are not exact. Determine the integrating factor to make each DE…

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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.