Q20// when x3+y3+x?y xy2+x3 dy %3D dx find the general solution?

Q: 2 V4-22 xy dy dx dz

A:

Q: Solve xdy + (3x – 2y)dx = 0 in two ways. 1. First Method

A: We can use two different methods to solve the given differential equation.

Q: Obtain the general solution using separation of variables ye 2x dx = (4 + e2x)dy

A: The given differential equation is y e2x dx=4+e2xdy Solving the differential equation by converting…

Q: Vx 3 1- evNīdy dx - 3 y3 e*y dx dy

A:

Q: What is the general solution of xy(xy5-1)dx + x²(1+xy5)dy=0 ?

A:

Q: d*y Obtain a particular solution for dx+ d²y *+y = x3 + 2x + 1 dx² dx + +

A:

Q: (х + у+4)dx+ (x + у—3)dy %3 0

A: The differential equation M(x,y)dx+N(x,y)dy=0 is said to be exact if there exists a function f(x,y)…

Q: Find the general solution to dy/dx= 6-x^2/2y^3

A:

Q: Find general solution of: 2x ( y - x^2) dx + dy = 0

A: Topic:- solution of differential equations

Q: SOLVE USING INTEGRATING FACTOR 3y 3x²y +2 ) dx + (2x* +6 In x) dy = 0 3.

A:

Q: 1) S dx 9-x2 dx 2) J2y-2 x2Vx2 -2 3) dx 2 V1-x2 |3D

A:

Q: Solve for the general solution of (ylny-e^-(xy))dx+(1/y+xlny)dy=0

A:

Q: 7. Solve for dy/dx if x = 2 + t and y = 1 + t2

A: From the given problem: x=2+t;y=1+t2 As we know that the Power law: ddxxn=nxn-1 We know that:…

Q: Find the general solution of dx -3 y=2cos3x . dx

A: The given differential equation is. d2ydx2+2dydx-3y =2cos3x This can be written as, D2+2D-3y=2cos3x…

Q: 18. S V1+x dx 1-х

A:

Q: 1 dy / Solve y dx 1 3 3+x2 V4-x2 ||

A:

Q: Z4 e: 2₁₁ (4x²yz - ) dz dy dx 1 4

A:

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

A: Here, the given differential equation is  (2xy3-x)dx-(3x2y4-y)dy=0

Q: Example 3: Estimate S, x² dx with n=4 by Midpoint Method. Solution:

A: Here first we will divide the integral range into 4 equal parts and then we will calculate the…

Q: Solve the particular solution of 3y(x^2 - 1)dx +(x^3 + 8y - 3x)dy = 0; when x = 0, y = 1

A: The given differential equation is 3yx2-1dx+x3+8y-3xdy=0. The initial condition is x=0 when y=1. The…

Q: (A) Evaluate / (4x – 5) (4/x + 4x) dx. x² + 3x - 6 (B) Find dy -, if y = 3 -)4 when x = 1 %3D dx

A: *we have to perform integration operation in A & differentiation operation in B.

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

A: General solution for xy dx + (2x2 + 3y2 - 20) dy = 0

Q: dx 2. S; x²-4x+5

A:

Q: 5) SOLVE dy 2 y (1) == (ive) dx 2

A:

Q: 3. Find dy/dx y=3^(x^2-1) x ln(3x-5)

A:

Q: dx 15. S (x²+36) ³/2

A:

Q: Find the general solution by means of separation of variables if: dy = xy -x dx

A:

Q: Solve for dy/dx. y=((5x-3)/(4-3x))^-3

A:

Q: 9. Find the General and Particular solution of = 4y ; y= 3,when x dx

A:

Q: find general Solution of DE. 4xg dx +x'dy +3y°dx +2xydyexd

A: The objective is to find the general solution of differential equation 4xydx+x2dy+3y2dx+2xydy-xdx=0

Q: Solve by finding an integrating factor (xy² + y)dx – xdy = 0

A: xy2+ydx-x dy=0

Q: 4- S" e-x* dx 5- Vy e-y² dy

A:

Q: Find the particular solution of  y(y^2 + x^2)dx + x(3x^2 − 5y^2)dy = 0 ; when x = 2 , y = 1

A:

Q: dy/dx = 2x3,    y(0) = 3 y =

A: Given Data:   Solve the differential equation,

Q: find dy/dx: (x+y)3+ (x-y)3=x4+y4 ?

A: The given equation is x+y3+x-y3=x4+y4. Find the derivative dydx using implicit differentiation as…

Q: Find solution of y – x X- dx dx

A:

Q: 2, x cost dt dx А. 2 В. 0 С. 1 D. x

A:

Q: 4. Using homogenous D.E approach, solve (x³ – Зху?)dx %3D (у3 — 3x2у)dy. (v³ – 3x²y)dy. | 2 (ardai…

A: The given differential equation is; (x3-3xy2)dx=(y3-3x2y)dy.

Q: find the general solution of x(y+1) dx -x 2 dy=0

A:

Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

A:

Q: [4] s **-2x³-2x x²+1 [4] S² > [5] S dx dx ex-1

A:

Q: Solve dy/dx−6y=3 subject to y(2)=2

A:

Q: dy 1. Determine the general solution of x = 2 – 4x3 dx

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: 4. Find 3x 2t dx/e²t dt

A:

Q: 1. Find the general solution of 3 + = y*(2x*) dx

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: 4. Find the solution of dy 3y = x. dx

A:

Q: Vx2tan4x2 dx 2. S (2cos2x2-1)2 dB 3. S 1+e2B 2lnx+1 dx 4. ((Inx)2+Inx) x

A: Given:  2 ∫x2 tan4x2 dx2 cos22x2-123 ∫dβ1+e2β4 ∫2 ln x+1ln x2+ln xdxx  To Find: To evaluate the…

Q: dy Find the general solution of (x² + 4). = xy. dx

A:

Q: (b) Integrate x-³e-l/a², dx

A: Here we can find the answer as below.

Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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.