dx = 3x + 2y dt dy -2x + 3y dt

Q: dx 8х — 9у dt dy = x + 2y x(0) = 2 y(0) = 1 - dt

A: The solution is given as

Q: dy If y = (t + 6t + 4) (3t2 + 4), find dt dy %3D dt

A: it is required to find the derivative.

Q: x2y3-y=x+x2 find dy/dt

A:

Q: .dx/dt = x+y², dy/dt = x + 2y

A: We have to find the critical points of the given system of equations dxdt=x+y2 ,dydt=x+2y

Q: dy dx ; x = 0, y = 1 , t= 0 dt dt 2) x = t2 + t y = t2 -t -00 <t < 00 %3D fall

A:

Q: dx = x(1 – y) dt dy у(х — 1) dt

A: Solution of the problem as follows

Q: dy when x = - 1 and dt Given y = 6x +7x, find dx %3D = 5. dt %3D

A:

Q: e-Using dy dx dt + Зу -5х —е t — dt dy +x+y- 3 = 0 dx dt dt

A:

Q: dy If y = (t + 2t + 8) (6t² + 6), find %3D dt dy dt

A: The given question can be solved as shown in step2.

Q: dy Let xy = 1 and = 4. dt dx when x = 2. dt Find

A:

Q: * = x- 2y+ 2z = -2x+y– 2z dt dy dt E = 2x – 2y+ z dt

A:

Q: dx dy -- x - 2y = 16te', 2x – dt - 2y = 0, x(0) = 4, y(0) = 0 dt

A: We will find out the required solution

Q: dx – x = 4y, UTM dt dy + x = y + 3e', dt

A:

Q: d'y dt? dy - +6y = 21° –t +3 ; y(0)=1, dy -(0) = 2 dt -5 %3| dt

A: At first, we have to find the complete primitive (C.F.) and then we find the particular integral…

Q: dx -Зх — бу 3D 0 dt dy 3x + 3у %3D 0 dt

A:

Q: dx x(0) = 1 у (0) — — 2 х — 2у %3D dy dt 4x 3y %3D ||||

A: I have followed the steps which are given in the problem

Q: dx dy + y = x , dt = 3y dt dx dy 1.

A:

Q: Find dy/dt. y = tan x; dx/dt = 3, x =π/4

A: Consider the following function:        y=tanx finddydt when dxdt=3,x=π/4.

Q: Find the integrating factor: y(x+y+1)dx+x(x+3y+2)dy=0

A: To find the integrating factor of the given differential equation.

Q: dy dx Given y=x³ - 2× and = 3. Determine the value of dt when X=2. dt

A: Differentiate the equation y=x3-2x with respect to t. y=x3-2xdydt=3x2dxdt-2dxdt=3x2-2dxdt

Q: dy Find dt y = (4+ csc 2t) dy %3D dt

A:

Q: dx dy - x - 2y = 16te', 2x – dt - 2y = 0, x(0) = 4, y(0) = 0 dt

A:

Q: dy If y = (t + 2t + 5) (7Ł² + 3), find dt dy dt

A:

Q: (dx = x - y+z dt |dy = x +y – z dt dz — 2х — у dt

A:

Q: dx dy - x – 2y = 16te', 2x - dt - 2y = 0, x(0) = 4, y(0) = 0 dt

A: The given differential equations are                                  dxdt-x-2y=16tet ..............…

Q: dy 2х dx - y = 6e3t, dt dt dy 3x + dt dx - 3y = 6e3t; | dt x(0) = 3, У (0) 3 0.

A: Given, dxdt-2x-dydt-y=6e3t2dxdt-3x+dydt-3y=6e3t, x0=0, y0=0   We use the Laplace transforms…

Q: Assume that y = 5x and dx/dt = 2. Find dy/dt.

A: Consider y = 5xApplying derivative with respect to t on both sides and plugging the values:

Q: dx 3x – 5y dx = 3x – y + 2z +t-1 dt dt (a) dy = 4x + 8y dt dy (b) 2x -z- 3t2 dt dz x+y+z+t? dt

A:

Q: dy at x = dt dx Find - 4 if y = 4x² +1 and -2. %3D dt dy %3D dt

A: Take the derivative with respect to t and put the given values.

Q: Find dy/dt.

A: Find dydt.

Q: dx dy 1. " + y = x , dt = 3y dt |

A:

Q: 1. dy ==2(y+1);=3y-x+e³; t=0; x = 1;y=1 dt dx dt

A: SOLUTION: Given: dxdt=2(y+1)   ;  t=0;x=1;y=1dydt=3y-x+e-3t

Q: dx 3x 6y = 0 dt dy 3x + Зу %3D 0 dt

A:

Q: Find the integrating factor of (x^2−y^2−4y−5)dx+2x(x+y+2)dy=0

A:

Q: dx dy %3D 2x + 2) + 1 dr dt dx +2 dt J+ 3 dt

A:

Q: Find dy/dx

A:

Q: dy If y = 4x3 + 5x and dX dt 2, find Y when x = 3. dt dy dt

A: We have, y = 4x3 +5x dxdt = 2

Q: Find dy/dt when x=4 and dx/dt=-3, given that x^3+y^3=72

A:

Q: dx = -y+y(x² + y² dt dy = x – x(x² + y²) - dt

A:

Q: dx dy dy Find and dt' dt dx x = 3t – 3ln(t), y = 4t2 – 4t-2 dx dt dt dr

A: Given x=3t-3lnt        y= 4t2-4t-2

Q: Assume that y=5x and dx/dt = 8 find dy/dt

A: Differentiate by chain rule : →f(g(x))dx = d(f(x))d(g(x))×d(g(x))dx.

Q: dx = 5x + y; dt x(0) = 2 dy -3x + y; y(0) = 0 dt

A:

Q: dx dt dy dt x(0) = 2 y(0) = 1 3x – Y 9х — Зу

A:

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

A:

Q: dy Find given that dt x² + y² = 2x + 4y, x = 3 y = 1, and dy = | dt dx dt = 6

A:

Q: dy when x = 2 dt х = x + 4, find y

A: Differentiation. ddx(f(x)g(x)) = g(x)×f'(x) -f(x)×g'(x)g(x)2 Where, f(x) and g(x) are the function…

Q: 9. dx/dt = −(x − y)(6 — x − y), dy/dt=x(4+y)

A: Given that, dxdt=-x-y6-x-ydydt=x4+y We have to determine all critical points of the system of…

Q: find dy/dt. y = sec2 πt

A:

Q: е. dt +y = 4 y(0) = 0 dy f. dt 23 y(0) = 1 dy g. 5y = 0 y(0) = 6 dt

A: Since your question has multiple parts we have solved the first three parts for you.   Solve the…

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.