dx dy -2.x. (d) = Y, dt dt

Q: Find the general solution of the differential equation: dy/dt=−y/t +7 Y(t) = ?

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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: Is the differential equation linear? dy dt + y2 = x

A: The given differential equation,     dydt+y2=x

Q: dx + dx dy e; dy = x +y Use elimination to solve: dt dt dt dt

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Q: dx/dt+dy/dt+x=e-t dx/dt+dy/dt-x-y=e2t x(t) general solution function

A: Given equations are                                              dxdt+dydt+x=e-t           ...…

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

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Q: dx dt dy dt х — 2у + t х — у + 2t

A: The given equation is dxdt=x-2y+tdydt=x-y+2t This equation can be rewritten as x'=x-2y+t t=x'-x+2y…

Q: Find the general solution of

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Q: given below. Based on the phase portrait, describe (mathematically) the basin of attraction for the…

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Q: Find dy/dt y=(40+e^t)ln t   dy/dt

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Q: Solve for an autonomous equation? dy/dt = f(y)

A: An autonomous first-order ordinary differential equation is an equation of the form

Q: Solve the Bernoulli equation for y. dy = 2y + y°. dt Use the following initial condition: y(0) = 1.…

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Q: If the equilibrium of dy/dx = y - sqrt(y) when y>0 is y=1, is it a stable or unstable equilibrium?

A: Given dydx=y−y, when y&gt;0 We have to check whether y=1 is stable or unstable equilibrium. Note:-…

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

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Q: y = 2 (x² – 3x) (a) Find dy/dt when x = 2, given that dx/dt dy/dt = (b) Find dx/dt when x = 7, given…

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Q: b- Yt dt + dBt dY; 1-t

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Q: Can you help me step by step with this problem?

A: Apply exponent rule for the exponent then use chain rule Exponent rule: d/dx(x^n)=n*x^(n-1)Chain…

Q: (1) y'(t) = 1- sint – , y(t)dt, y(0) = 0 %3D

A: As per guidelines, we will solve only first question. Kindly repost other question separately.

Q: = y – 2², dt dy = y - ar. - у — dt For parameter a, classify the equilibrium points when a>5

A: Both the equilibrium points (0, 0) and (a, a2) are saddles.   Explanation: Let   First, we find the…

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

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

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Q: dx -5x² – xy + 114.x dt dy -x?y – y + 900y dt Find the equilibrium points in the first quadrant

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Q: d?x dy -y = 0, dt? dt dx 2- dt dz +- z = 0, dt dx dy + 3x + dt -4y+ 3z 0; dt dx x(0) = 0, (0) = = 1,…

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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: (b) Use a graphing utility to find dx/dt, dy/dt, and dy/dx at the given value of the parameter. dx…

A: Follow next step

Q: Find all solutions of the equation: dy​/dt=yt−y−t+1. Stationary and non stationary

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Q: 1 y' = 1– sint - y(t)dt, y(0) = 0 0,

A: Given the equation y' = 1-sin(t) -∫01y(t)dt. Initially, we integrate both sides of this equation…

Q: Find dy/dx

A: Given:y=∫0ex2 1t dtIntegrating formula∫xn dx=xn+1n+1

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

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Q: Find an implicit solution to the initial value proble dy = y? – 2y, dx y(1) = 3. -

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Q: dx dy = r°y – ry dt = y - ๕ dt

A: We will answer the first question since we only answer one question at a time. please resubmit the…

Q: If y=f(x) satisfies the given DE and prescribed initial condition, then y(e?) = dy 1 ; y(1) = 0 dx

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Q: Find the differential dy of the given function. y = V9 - x dy

A: Given y= √(9-x2) To find dy/dx

Q: dy Find dx x2 y = dt dy dx (Type an exact answer in terms of e.)

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Q: 3 + 1)'0 dy calculate dx Given y = dt

A: From the fundamental theorem of calculus, ddx∫0xf(t)dt=f(x) And from the chain rule,…

Q: Find the function y(t) that satisfies the differential equation dy dt and the condition y(0) = 2.…

A: Let us consider the given function dydt+P(x)y=Q(x). To solve the equation using integrating factor…

Q: d’y ,dy -2+5y = e" cos 2x b) t dt dt

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

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Q: Determine whether the equilibrium at x = 0 is stable, unstable, or semi-stable. dx 3 dt The…

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Q: E. Find , and in terms of dx dt' dt 1. x = t°- 1 2. x = 4t + 3 y = 3t – 2 y = 4 - t

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Q: determine the general equation; variable separable, homogeneous, exact, non-exact DE…

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Q: dx +x= e', dt dt %3D

A: In the given question we have to find function x and y.

Q: dx (b) (t– 2) – x = (t – 2)' , x(4)=10 dt dx (c) +5x -t = e" , x(0)= dt

A: Here we have to solve given initial value problem b and c.

Q: Find the function y(t) that satisfies the differential equation dy 2ty = 6te" !! dt and the…

A: To find the solution for the given differential equation

Q: psin(z) (c) y = [ dt t+1

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Q: A suitable substitution to transform the D.E. t dy – y dt = tydt into linear equation will be :

A: Substitution to convert given differential equation into linear

Q: Find the general solution to the following equations. dx dy 1. + y = x , = 3y dt dt

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.