dy x + 3 y dx 3х+у

Q: y (2x + y 2) dx O a. y (2x + y) = Ce - 2(x + y) dy = 0

A: y2x+y-2dx-2(x+y)dy=0 Lets check for exactness.…

Q: Find y(4) = d4 y/dx4 if y = -2 sin x

A: Given y=-2sin(x)

Q: d?y 6. dx2 dy 2 + 2y = 0 %3D dx

A: Rewrite the given differential equation y" - 2y' + 2y = 0 Here the auxiliary equation is m2 - 2m + 2…

Q: Determine whether (6x+y^2)dx + y(2xy-3y^2)dy = 0 is exact or not.

A:

Q: (2x – 5 y dx + (- 5.x + 3y² kdy = 0||

A:

Q: (a) (3-x- y)dy=(2x – 4y+6)dx.

A: According to the guidelines I can solve 1st problem only. For the remaining problems you have to…

Q: dy +7хy %3 4x, у(0) - 6 dx

A:

Q: Find dx y = 9x -2 dy dx II

A: Given:    y = 9x-2

Q: dy 2y 1. dx 2y3 %3D

A:

Q: dy :- 15x²y and y = 4 when x = -4 dx

A: To solve the initial value problem  dydx = -15 x2ydyy = -15x2 dx

Q: y dy dx '2 y

A:

Q: Find dy dx 1. y = (3-2x)³ (x² − 2)

A:

Q: V 2 - y2 4(х + y) dx dy

A:

Q: dy y = (3x2 + x-2)-1; dx

A:

Q: dy - 2rV1 – y³, -1 < y< 1 dx

A: Given dydx=2x1-y2

Q: 3. dy dx + x2(y 2+3) y (x3+1) =0 = 0.

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: dy 2х + (4х + yу — 6) = y | dx

A:

Q: dx -x = 2y², dy y(1) = 5

A:

Q: a. x(y² + 1)dy + (y3 – 2y)dx = 0; when x = 1, y = 2

A: Let's find.

Q: 2x°dy = y(2x² + y²)dx

A: Differential equations

Q: d²y + y = tan x dx2

A: Solution of differential equations

Q: 2x - y)dx + (4x + y − 6) dy 6)dy = 0

A:

Q: Calculate the derivative.

A:

Q: dy Suppose 2e-2* and y(1) = 4. dx What is y(2)?

A: Given,  dydx=2e-2x and y(1)=4

Q: dy 1. 3- dx |4 — х2 - y(1) = 1 y5 II

A:

Q: dy Зx+2у dx 2х+y

A: Ans:

Q: dy y2 – 1 y(2) = 2 dx

A:

Q: dy Y- (3-2x') (3x+5x) (7-2х); dx

A: Derivative

Q: dy dx 8x³e-2y y(1) = 0

A:

Q: (x² + y2) dx dy ow urves y = x² and

A:

Q: 2.2 dx + 2X dy = 2x°y°dy y

A:

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

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Mdx⏟Take…

Q: dy y =V 2x + Vx; dx

A:

Q: 2) dx dy x²+y² 2хy ||

A: Integrating the given equation.

Q: dy (у+1)(у+5) when x 3D 10, у %3D 20 dx (х-3)(х-7)

A:

Q: d²y, 1 dy + dx² + y = 0 2 dx

A: Given a differential equation, xy"+12y'+y=0 Re-writing the given equation, y"+12xy'+1xy=0 Here,…

Q: Evaluate: -2 rz² LLL "3yz² dx dy dz •y+z

A:

Q: 26) (2y + xy)dx +2xdy = 0, y(3) = /2

A:

Q: dy Determine or y' dx 2x2 – 3 3. y = (x + 4)²

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: dy dx -5y=-tr, 5y = ³ 2 y(1)=1

A: The given differential equation is  dy/dx -5y= -5/2 xy3 , y(1)=1

Q: dy - ¿°cax-4) .y(5) - D dx

A:

Q: y(4x+y)dx-2(x^2-y)dy=0

A:

Q: a) dx² d²y + 9y = -2e3x „y(0) = 1 ,y' = 1 dx

A: From the given differential equation: d2ydx2-6dydx+9y=-2e3x So, we can also write as; D2-6D+9y=-2e3x…

Q: (iii) dx 4-y: (1)y(0) = 1, (2°)y(0) = 5

A:

Q: dy Find xp y3 Vx csc x+6 dy %3D dx

A:

Q: dy Find dx 5, y3 vx csCx+6 y%=D Vx csc dy dx

A:

Q: dy х+ 3 dx (x2 + 6х - 3)2 y =

A:

Q: dy 3 y : 2 dx 1 sec2 y || + II

A:

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

A: Given differential equation is: y2-2y-3dx+2x2+1dy=0 Separate the variables:…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.