y" - 2y' + y = 2xe2* + 6e*, a) y(0) = 1, y'(0) = 0. %3D %3D

Q: 2y(x² – y + x}&x + (x² –2y)dy = 0 2. Determination of integrating factors:

A:

Q: Obtain the solution using Integrating Factors Found by Inspection. 3.) 2x⁵y' = y(3x⁴ + y²)

A:

Q: 2 y

A: According our guidelines i solve only first question.For second solution please resubmit again…

Q: 17. √16-e² -dx

A:

Q: Integrating factor of the differential equation y(2x-y+1) dx+x(3x-4y+3) dy=0 is

A:

Q: 1. Integrating factors found by inspection: (xy + xy)dx+(x²y²-2)dy = 0

A:

Q: Obtain the Differential Equation of the family of plane curves. 3. The trisectrices of Maclaurin…

A:

Q: dy 8. = dx 1 x+y+1

A:

Q: differential equation y is separated to obtain: A x-3dx = (y2- 1) dy B x-3dx= -y+ y x³dx = (y+ -) dy…

A:

Q: S2x²e** ax=uv- Jvau -Svau. Sfoxe". Using Integration By Parts, Find uv- Jv du- 3 x² e dx O 2 x3 x3…

A:

Q: 2. (х — 4y — 3) dx — (х — бу — 5) dy %3D 0

A: Here, we have to solve differential equation 2,

Q: integral of (y^2-14y+5) / y(y-1)(y-5) dy

A: ∫y2-14y+5yy-1y-5dySubstitute u = y-1=∫y2-14y+5yy-1y-5dyApply the Sum Rule:…

Q: Obtain the differential equation of the family of plane curves described and sketch several…

A:

Q: Determine a region of the xy-plane for which the given differential equation would have a point (x,,…

A: Existence and Uniqueness theorem: The initial value problem y'=f(x,y) has at least one solution on…

Q: the line y 3. Find the volume óf the 2 65. Express in partial fractions. Hence, or otherwise, solve…

A: according to our terms and condition i have solved Q65 for next question repost

Q: Find the general solution of the differentlal equation. (Use C for the constant of Integration.) dy…

A:

Q: (у — 2) dx — %3D 0 (х — у — 1) dy

A:

Q: Double integral of x^3 cos(x^2y) dxdy ? for x=1/y, x=1/2 & 1<y<2

A:

Q: the line y = 3. Find the volume of the solid of revolution obtained. 65. Express in partial…

A:

Q: determination

A:

Q: . The integrating factor of (4xy+3y2-x)dx + (x+2y)dy = 0

A: Given that: (4xy+3y2-x)dx+(x+2y)dy=0

Q: Find the general solution using Integrating Factors Found by Inspection y(x^4 − y^2)dx + x(x^4 +…

A: Find the general solution of differential equation

Q: Q3. Second order non-homogeneous ordinary differential equation is given as: y" + y' – 2y = x² –x+e*…

A:

Q: 8. y dx + 2(y -x) dy = 0

A: Linear differential equation in x.

Q: ind the general solution using Integrating Factors Found by Inspection y(x^2 y

A: Given: To find the general solution of By using integrating factors,

Q: Determine a region of the xy-plane for which the given differential equation would have a unique…

A: We have to find the region where differential equation has unique solution.

Q: 3. (2х + 3у— 1) dx + (2x + Зу + 2) dy %3D 0

A: The given differential equation is,…

Q: INTEGRO-DIFFERENTIAL 2. y" - y'-y = cos(5t)

A: We have given a differential equation ,  y'' - y' - y = cos5t First we will find complementary…

Q: 3. Determination of integrating factors: 2y(x+ y+ 2)dx + (y -x -4x-1y = 0

A:

Q: dx -- 2 = 3y - 2 when x = 1, y = 1 dy

A: the given differential equation is: ydxdy-2=3y2-2 it is given that when x=1,y=1 we have to find…

Q: Obtain the differential equation of the family of plane curves described.  1. Straight lines with…

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

Q: 3. Determination of integrating factors: 2y(x+ y+2)dx +(y² - x² -4x-1)dy = 0

A: The given differential equation is  2y(x+y+2)dx+(y2-x2-4x-1) dy=0. Repost the next question.

Q: 5. (2х + Зу— 5) dx + (3x — у — 2) dy 3D0

A:

Q: 13. dx √ex-1

A: Given: I=∫dxex-1   ...1   As we know that; The Chain Rule: fgx'=f'gx·g'x And ∫1x2+1dx=tan-1x+C

Q: Obtain the differential equation of the family of plane curves described.  1. Straight lines at a…

A: Obtain the differential equation of the family of plane curves described as a straight lines at a…

Q: Integrating factor for xy dx + (2x2 + 3y2 - 20) dy = 0

A: topic - integrating factor of differential equations

Q: 4. x(x² – y² – x)dx – y(x² – y²)dy = 0, y(2) = 0

A: For the solution follow the next step.

Q: Use equation reducible to Linear form method then find the integrating factor of the dy -5y =x' dx…

A: Given: xdydx-5y=x7 To Find: The integrating factor of the given differential equation

Q: homogeneous differential equation of (x-y) (4x+y)dx + x(5x-y)dy=0

A:

Q: Uygulamayı bitir d'y dx +25 +2y% = General solution of %3D dx cos x differential equation

A: The general of a non-homogeneous ordinary differential equation a(x)y''+b(x)y'+c(x)y=d(x) is:…

Q: Solve the partial differential differential by separation of variables 3 + 7 0. %3D

A:

Q: Determine a region of the xy-plane for which the given differential equation would have a unique…

A: Rewrite the given differential equation. y'=x24-y2             ...1

Q: What is the integrating factor y(4x+y)day - 2(x^2-y)dx = 0

A:

Q: 2) (2x + sin x) dx + x cos y dy = 0 3) - 2y + a = 0 dx dy 3y 4) r2 (Exact). (Separation variables).…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: Geberal solution of (3xy +3y - 4)dx+(x+1)²dy

A:

Q: Determination of Integrating Factor (2xy− y^2 + y)dx+ (3x^2− 4xy+ 3x)dy = 0

A:

Q: Determine a region of the xy-plane for which the given differential equation would have a unique…

A: We will use the given differential equation to give the region in which the given ODE has a unique…

Q: 34. e4x cos 2x dx

A: Solution:Given∫ e4x cos 2x dxFormula:∫udv=uv-∫vdu∫sin ax dx=-cos axa+C∫cos ax dx=-sin axa+C∫eax…

Q: What is the appropriate integration factor of the given 1st order linear differential equation?…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: