lecessary steps. (a) / = V2r – 1 dz (b) ; dr edr +1

Q: 7x? +6 Find dy for y = X 7x -6 dy =

A: Given that, y=7x2+6x Differentiating with respect to x we get,

Q: Solve dy dx =-y with y(0) = 1. Find y(0-01), y(0-02) by Runge-Kutta method.

A:

Q: Find, the genetal Solution of the differehtial equation (2x+Y-3) dy= (f+2Y-3)dX

A: Given problem:- Find the general Solution of the differential equation   (2x + y - 3) dy = (x + 2y -…

Q: Q3\ using Euler method, find an approximate value of y corresponding to x€ [0 -0.7], Given = x(x +…

A:

Q: 3x² (- x) dx – (-y) dy = 0 2х (1) Find the general solution for

A: The given differential equation is: 2xy3-xdx-3x2y4-ydy=0 Comparing this with: M dx + N dy = 0, we…

Q: 4x + 5 6 - Evaluate the integral dx. V3 – a? a)5 arcsin V3x + 4/3 – a2 + C b)5 arcsin V3x – 4/3 – x2…

A: =?

Q: Integrating Factor by Formulas: (7) xy³dx + (x²y² + 1)dy = 0

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: (d) Evaluate [(2xr² – 3x)dxusing formula develop in part (c)

A:

Q: The solution of (v + x + 5)dy = (v - x + 1) dx is

A:

Q: 4.2(х — у)dx + (3х — у — 1)dy 3 0

A: Let's find.

Q: Q3. Solve dy (x+3) dx S 3x, 0 3.

A:

Q: Solve using Bernoulli's Equation. y(6y^2 - x - 1) dx +2x dy = 0

A:

Q: y' = 5y + y?

A: First we convert the given Bernoulli equation into linear differential equation. After that we…

Q: (v² +3 yx)dx +(3x² +cos y-e' )dy = 0.

A: It is problem of exact differential

Q: Solve equatian. the differentiql dy = 80-2y * Such that y=70 when x=0

A:

Q: dy 5x+4 Use 4-step rule to find given that y dx 2х-3

A:

Q: S(y* - y-3)dy

A:

Q: 8. Vx2 + y² dx dy

A: Given integral is ∫03∫09-y2  x2+y2dxdy. Change cartesian in the above integral to polar. ∫03∫09-y2…

Q: y² + 5 dy J y²Cy² + 25)

A: Given problem:-

Q: QI Find dy for 2y2/3+xy3/20 x 0

A:

Q: Find (D2Y/DX2) for y=e-4x^2

A: We have to find second derivatives of the function: y=e-4x2 We will use following formulae:…

Q: r4 1- So ey/Vx dy dx 2.

A: Explanation of the answer is as follows

Q: d²y B Show whether y = Ax² + · x2 is a solution for x2- dy + x dx + 3y = 0 or not. dx2

A: If y=Ax2+Bx2 is a solution for x2d2ydx2+xdydx+3y=0...(1) then it satisfies equation (1).

Q: Find the yp of the equation (D2 +4y=asinax + 4e ex %3D

A:

Q: dx - My- dy -5+e

A:

Q: 3. Find the General and Particular solution of = 3y ; y= 3,when x = 0 dx

A: Take integration on both side and then put initial value

Q: Q1\ Use Runge-Kutta method with (h=D0.1) to solve the equation y+ 3xy - 6y = 0 ; given that yo = 1…

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

Q: 2.Solve bernoulli (x ^ 2 + y ^ 2) * dx - xydy = 0

A:

Q: Solve using variation of parameters or reduction of order (D² + 1)y = sec*x

A:

Q: . Solve the first order equation (3z²y + 2ry)dx + (x³ + x² + 2y)dy = 0.

A: Solution

Q: Q9// find the general solution (sec³x + (cotx)y)dx + (Insinx)dy = 0

A: Answer and explanation is given below...

Q: using variation of parameters: - 2x + x = e t (et 1 1)2

A:

Q: dx 7. Find the general solution to y+ 2x = 5y³. dy

A:

Q: d²y 35. Find dx2 of x² + y2 = 1 implicitly. %3D

A:

Q: Solve the D.EXY+Y=1/1/2

A:

Q: dv 9. S- V3v-2a 10. S(5 – 3y)*dy

A:

Q: Solve the IVP: - 8x + 7y – 7x + 2y dy where y(2) = 9 dx Solve your solution equation explicitly for…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  here we have

Q: Q3\ using Euler method, find an approximate value of y corresponding to X€ [0 -0.7], Given = x(x +…

A:

Q: dy 1- S V9+y2

A:

Q: x(y-3). * - xly-3) dy = x(y-3)dx nly-31= C y-3 e [y-ce 3 2. Pesticide was given to a colony of 8000…

A: we have been given an equation y'=x(y-3) which can be written as  dydx=x(y-3) here, we will use…

Q: 2. x3 – y3 = c³, find y" %3D d²x 3. x* = at?, find dt2

A: we need to find d2ydx2 from equation x3-y3=c3

Q: Solve: 3(1 + t?)(dy/dt) = 2ty(y³ - 1). %3D

A: Solve the integral 31+t2dydt=2tyy3-1. Use the separation of variable method. 1yy3-1y'…

Q: Solve using variaiton of parameter (D³ – 3D +2)y = (1+e2x)-1/2

A:

Q: Q1: Use trapezoidal method with n=4 to approximate 4x4 dx

A:

Q: dy Use first approximate Picard's method to solve- dx +3y, y(0)=2. .a +6x+ 2 2 .b None of these .c +…

A:

Q: Integrate the FF- ). dy dy N+2 V+2

A:

Q: ) S3x'dx 34- 3/2 3) Ssú dy dt

A:

Q: 4x (e) Find -dx .2 Vx² +4

A: