4) 2y" + 3y' – 2y = 14x2 – 4x – 11, y(0) = 0, y'(0) = 0 %3D %3D -

Q: 3. Find (6-+- vē)dt Vy 4. Find S- dy (4-yの?

A:

Q: 2. y(3x* + x°y$)dx – 2x°dy = 0 (use integrable combination only) -

A:

Q: (1) y = x³ lnx (4) y=²+1 (2) y = √sinh √tan.x -,u= u= 3x²-2

A:

Q: e particular solution of the differential uation x^2 dx - (y+1) dy 0 if y(0)=1 2y^2+3y-6x^3+6= 0…

A:

Q: If y = (2x)sin (4z) , then dy sin(4æ) · (2sin(4z) esin(4z) In(x)) %3D dx X synta

A:

Q: Find the general solution of the given Ordinary Differential Eqauations system: - 9 x () where X(t)…

A: .Our general solution is of the form X(t) = C1V1eλ1t + C2V2eλ2t  where V1 and V2 are eigenvectors…

Q: Obtain the differential equation of the family of circles with center at point (h,k) and radius r.…

A: The equation of the circle having a center (h, K) and radius and radius r is given by:…

Q: Obtain the particular solution of (x+2y-1)dx-(x+2y-5)dy=0 using Bernoulli's Equation. (Complete and…

A: Given the differential equation

Q: 5 Find xy dydx. 4

A:

Q: dx ylnx- dy y + 1₂ X 2

A: given :ylnxdxdy=y+1x2

Q: 5. Find fSp(x + y)² dx dy, wh- region in Fig. 17.2.12. y = x

A: Answer is 7/12

Q: 4) S(x, y) = (4x-x* )cos(y) on the Ans. Absolute max.: 4 at(2,0) 3/2 Absolute min.: at 2 rectangular…

A: Given

Q: Find the differential equation of all sphere of radius 5 having their centers in the xy plane

A:

Q: (3) y = ln¯' væ

A:

Q: 1. 3(3x2 + y²)dx – 2xydy = 0

A: According to our guidelines we can solve only the first question. Please re post the other questions…

Q: From the partial differential equation by eliminating the arbitrary functi on s f and g from = z =f…

A: Given: z=fx+ct+gx-ct

Q: 5 Find xy dydx.

A:

Q: dy/dx=3x^2+1 with y(1)=2. Estimate y(2) by Euler's method

A: given differential equation dydx=3x2+1 with initial condition y1=2 claim- estimate y2 by euler's…

Q: a. Circle of radius 1 and centers on the line y = x

A: The solution is given as

Q: 25. Find x, y, eR from 2coshy - 7sinhx = 3 and coshy - 3 sinh² = 2 %3D

A: The given system of equation: 2cosh(y)-7sinh(x)=3                    ......  (1)cosh(y)-3sinh(x)=2…

Q: dy -X+Y

A: The solution to a linear differential equation of the form dydx+Py=Q, where P and Q are functions of…

Q: dy Kutta method to integrate = 4e0.8x step size of h 0.5 and an initial condition of y = 2 at x =0…

A: 4th order Runge-Kutta method…

Q: 7. What is the order, degree and linearity of: (dy + 3x dx, d°x = ey dx3 8. What is the order,…

A: Note: since you posted multiple questions. As per our guidelines we are supposed to solve one…

Q: (2(1-2) (1--) dy dx dz 1-z) Evaluate S, a-2 (1-

A:

Q: If y = eex the y' - y" + exy' is equal to?

A: The given equation is y=eex

Q: 3. Find the solution of xydx – (x²+2y²)dy = 0. Use Determination of Integrating Factors.

A:

Q: y = x* Inx dy : =x³ +4x° Inx dx O Op tion 1 None of these dy - -x -4x° In x dx =x² -4x° Inx dx O…

A: Explanation of the answer is as follows

Q: 5. Obtain the Differential Equation from the family of ellipses centered at (h.k) whose semi-major…

A: Given data is: The semi-major axis is twice the semi-minor axis and the center of the ellipse is…

Q: Compute the differential dy for y = 7x° – 4x2. dy =||

A:

Q: 2e* xy" - (2x + 1)y' + (* + 1)y %3D * ond ex ore linearly indenerndent

A:

Q: A/ Integrate TWO only 2x dx 1) S- 2) S 4e cos4x dx 3) x In(x + x)dx x +x+1 B/ Ali is filling a cone…

A: As per the guidelines we can solve 2 problems

Q: OBTAIN A FAMILY OF SOLUTION 2. (x - yny + y In x ) dx + x CIn y - In x)dy =0 3. [x - yarctan…

A: This question is related to differential equation.

Q: Obtain the differential equation of the family of curves described below. a. Circle of radius 1 and…

A: a) Given radius of circle r= 1 and center lies on y=x linewe know that circle equation is…

Q: (1,2,3) (0,0,0) 4x³y dx + (x²-25) dy-5yzª dz

A: Find the value of function using integrate Compare the given expression with Mdx+Ndy+Pdz to obtain…

Q: 2sin(y)cos(y) sint(y)+costy) dy

A:

Q: .4 4-y Q3) Evaluate triple integral , S S dz dy dx.

A:

Q: find the general solution using integrating factor method  dy/dy - y/2 = 2sin(3t

A:

Q: Compute Y (II) withe y" y'= -8 (Sinx+cosx. Y(T) = 0, y¹ (F) --8, by @ Taylor Series

A: Given differential equation is y''-y'=-8(sinx+cosx)     (1) and y(π)=0, y'(π)=-8 Solution a: Using…

Q: 1 of 1 dy -3-9x, y'6)=8, dx² ylo)=2 %3D

A:

Q: 2Linear edluotion 5. dy dx

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: d?x 2 dt2 dx - 5- dt 3x = -9t2 – 1 - %3| - - dx When t = 0, x = 1, = 0, find x when t = 2 %3D - dy

A: The given differential equation is 2d2xdt2-5dxdt-3x=-9t2-1                   (1) to find x(2) with…

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

A:

Q: Give the integrating factor for 3((y^4)+1)dx+4x(y^3)dy=0. (in terms of x)

A:

Q: (1+x^3) dy-x^2ydx=0 satisfying the initial condition x=1, y=2

A:

Q: cos v f(x, у, 2) 3D xz2 af af 2 cos y Cosv siny df = - = - = - dx x2z2' dy dz xz3 XZ af cos v %3D af…

A: Topic:- partial derivatives

Q: dy 3 (49-y²) 2

A:

Q: 3. (2х - у - 4) dx - (х-3)dy -0 when x %3 1, y 3D 4.

A: We try to identify and group terms and integrate.

Q: * Find the intergration: dy

A:

Q: 1. (sin y — y sin x)dx + (сos x + х сos y — у)dy 3 0 %3D 2. (1— 2x2 — 2х) у' %3 4x3 + 4ху 3. (Зx cos…

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.