-4x y"+6y'+9y=7+

Q: Z4 =:₂₁ (4x²yz - dz dy dx S₁

A: Given ∫23∫-14∫104x2yz-z44dz dy dx ∫23∫-14∫104x2yz-z44dz dy dx=∫23∫-14∫104x2yz dz dy dx -…

Q: 4 ( Calculate -2x dy

A:

Q: 2 V4-22 xy dy dx dz

A:

Q: + 1 =2e- dy

A: Given, Can be rewritten as

Q: Evaluate the integral.

A: Integration is a process of finding the anti derivative of a function. There are basically two types…

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

A: Topic:- solution of differential equations

Q: (x - 2y - 1) dy = (2x - 4y - 5) dx

A: Solution:x-2y-1dy=2x-4y-5dxdydx=2x-4y-5x-2y-1dydx=2x-2y-1-52+1x-2y-1dydx=2x-2y-1-32x-2y-1let,x-2y-1=…

Q: 2. (3x-y-4)dy -(x+y-4)dx=o

A: Given :

Q: 6x + y²) dx + y(2x – 3y) dy = 0 -

A: Exact differencal equation and second eliminate contact

Q: 4.Jy2-プdy

A:

Q: 1-Vy dy Vy 4

A: We need to find the given integral.

Q: 6x-9 =? dy Sx + uy dt

A: Given system of differential equation is dxdt=6x-ydydt=5x+4y In matrix form, we can write it as…

Q: find particular solution of (16x+5y)dx+(3x+y)dy=0. If the curve to pass thru the point (1,-3)

A: Given: 16x+5ydx=-3x+ydydydx=-16x+5y3x+y               It is a homogenous differential equation.…

Q: Evaluate the integrals

A: Given I=∫01∫03-3x∫03-3x-y1dzdydx

Q: dx ex -1

A: Let ex=t ⇒exdx=dt    dx=dtex          =dtt

Q: 2. (2x – 3y +1)dx– (3x+2y-4)dy = 0

A:

Q: /2x- xy dydx = 0,

A:

Q: (a) (Ex) ((Ax --> Bd) --> Ky) (b) (Ex) ~ (Dx v Cy) (c) -(x) (Dy --> (Hx v ~Ga))

A:

Q: 2. If y= 2u'and dy when x-1. dx determine 2x -1

A:

Q: -2x y" + (e by = 0 (e-* = z) -

A:

Q: 2²ye+v°-²dx dy dz 1 -1

A: We have to calculate the integral.

Q: (2x – y)dx + (4x + y – 6)dy = 0 -

A:

Q: (2x – 3y)dx – (-6y + 4x + 1 )dy = 0

A: Given that 2x-3ydx+4x-6y+1dy=0

Q: 1. (3x – 2y + 1)dx + (3x – 2y + 3)dy = ( -

A:

Q: 1. (2x – 3y) dx + (2y – 3x) dy = 0 - -

A: According to our guidelines we can answer only three subparts of a question, or first question and…

Q: (3) (2x – 3y – 2)dx + (6(2x – 3y) – 2)dy = 0. - - %3D

A:

Q: 2ydx + x(x² In y-1)dy=0

A:

Q: у (9х — 2у) dx - x (6x = y) dy = 0 -

A: Given:- y (9x - 2y) dx − x (6x — y) dy = 0 To find:- Solve given differential equation when x=1, y=1

Q: integrate the following ∫(y-2 + 1/2y - 1)dy

A:

Q: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

A: Find dy/dx at the point (2,-2) if 3y2-4x2+4=0.

Q: (2,5, – 6) | 16x dx + 4y dy + 2z dz (0,0,0)

A:

Q: Find the particular solution from y(9x-2y)dx-x(6x-y)dy=0  when x=1/3 and y=5/2.

A:

Q: What are the order and degree of the differential equation representing the family of parabolas y2 =…

A:

Q: ху+3x- у -3 dy %3D dx xy-2x + 4y- 8

A:

Q: 1. (6x-3y+2)dx-(2x-y-1)dy=0

A:

Q: (x-3y+2) dx +(3x+ 9y-12) dy -o 3.

A:

Q: 22 32 S[ (4-y ) dydx 1. ans:- 3 0 0

A:

Q: 14-2x 1. ! ] dydx 0 2 2. dxdy 0 y 11-r 3. dycx o 1-x 4. [[ dydx 0 0

A: Answer 1: changing dy dx to dx dy; limits of integration: 0 ≤ x ≤  [2 - (y/2)] 2 ≤ y ≤ 4

Q: ,1 .-2x +5 Evaluate | 3x 10-4x - 2y dy dx 25 3 25 26 7 27 5 28 3

A:

Q: + 4 oly +6y =0 dt dy +2 -6x=6

A: Introduction:Simultaneous equations are those in which the derivatives of two or more dependent…

Q: Solve for y + In lyl at x=6: y'=(yx^2-y)/(y+1); y(3) = -1 4.5

A: The given differential equation is y' = y x2 - yy +1  with initial condition y ( 3 ) = -1. To solve…

Q: 16 dx -5y -0 dy dy 3

A: We solve this by ordinary differential equation

Q: (2x+ 3y) dx + (3x-y+5) dy

A:

Q: 1 y2e- dy 7 صواب ihi

A:

Q: 7 5-y y dx dy 3y

A:

Q: 3. (2x + 5y + 1) dx - (5x + 2y – 1) dy = 0.

A: Given differential equation (2x+5y+1)dx-(5x+2y-1)dy=0 To determine the solution Put x= X+h, y= Y+k…

Q: 2. (2x + 3y + 1)dx – (4x + 6y – 1)dy = 0 -

A:

Q: 1. y = x3 – 2x² + 3x – 5 - - dy 3x2 – 4x + 3 - dx

A:

Q: 2. メ +ッ 2. dy- X. dx

A: