ye2xdx ye2x. (4 + e2x)dy

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xydx - (x + 2)dy = 0

A: Given problem:- Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS.   xydx -…

Q: General solution of 2xydx+y^2dy=0

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Q: ² - x ²² = y² dz ४x d²z Find the solution of xy' буду

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Q: Q2/ B/solve the set of linear equations using Gramar's rule: 2x + 3y – z = -9 + 4 x + 2y = 5 – 5 3x…

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Q: 4. Find the particular solution of xy' – 2y = -x ; when x = 1, y = 5 a. y = x + 4x² b. y = 2x + 3x²…

A: xdydx-2y=-x⇒dydx=-x+2yx⇒dydx=-x+2yxPut…

Q: Find the particular solution of (y + Vx² + y²)dx – xdy; when x = v3, y = 1

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Q: Find the particular solution of xy" + xy' 13; y = 0 and y' = 1/2, when x = 1.

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Q: Q4: Use undetermined coefficient annihilator approach to solve. y"" – 5y" + 6y' = 10x² – 5x – 6 +…

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Q: Solve the Cauchy euler equation d³y x3 dx3 3x2 d?y dx2 2 + 6x -6y = 3 + Inx³ dy dx

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Q: Obtain the general solution y

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Q: O': what is the general solution of the equation. dy dr xy

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Q: a) Give a particular solution for y" – 2y' + y = 3e*.

A: According to company rule we can answer only first question and rest can be reposted.

Q: fud General Solution dy-3y=

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Q: Use variation of parameters to find the particular solution to y'' - 7y' +12y = 3e³t Y(t)= Preview

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Q: find general solution. dr/dt= -2tr,         r(0)=ro

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Q: find the general solution of (y^3 + yz^2 -z)dy + (z^3 + y^2 z - y) dz = 0

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Q: 6. Find the solution of dy = (y² – y)x². dr

A: Definition used -          The solution of the variable separable differential equation-…

Q: Use variation of parameters to find a particular solution of the DE y/" – 4y + 4y then write down…

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Q: Find the particular solution to D²y – 6Dy + 9y = e3x – ex when x = 0, y =y' = - 3 %3D

A: For given differential equation we have to find particular solution.

Q: y=c,J,(V3x) +c,,(/3x)is solution for x?y "+xy'+ (9x² –3)y=0

A: False

Q: (2x2y+3y3)dx - (x3+2xy2)dy = C Solve for Particular Solution when x = 1, y = 1

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Q: (ху+ усotx)dy — у(хdу+ ydx) 30

A: Given the differential equation             (xy+ycotx)dy-y(xdy+ydx)=0

Q: G) (2x-yJdx + (4x. +y-3)dy=

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Q: Check that y Cx) = e* is the Solution of y" + y' - 2y = 0

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Q: Q1: Solve the second order linear homogenous equation: y" – 2ky' + 4y = 0 k > 2 -

A: According to our guideline we can only answer first question and rest can be reposted.

Q: (b) Solve y" + e*yf + (1 + x²)y = 0, %3D x = 0, if y(0) = 1; y'(0) = 0. %3D

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Q: Find the general solution to  y''+ y' = 1 + 2sin(2t)

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Q: e2x-ydx + ey-2×dy = 0

A: e2x-ydx+ey-2xdy=0⇒e2x-y+ey-2xdydx=0Substitute  dydx with y' ⇒e2x-y+ey-2xy' =0⇒e2yy'…

Q: Q.4 Use the method of separation of variables to solve : xyu̟ +2u, =0, U(x,0) = 3x* . %3D

A: Standard partial differential is given as: p∂u∂x+q∂u∂y=r Lagrange method for finding solution for…

Q: Use variation of parameters to solve the general solution 1 (D² – 3D + 2)y 1+ e¬*

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Q: S: - V dx 2x - √x + 4 VX

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Q: Find the general solution Ans. y=(C1+C2x)eX+e*

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Q: (a) Solve the following linear equation by Cramar's rule:- x- y + 2z = –-4 3x + y – 4z = -6 2x + 3y…

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Q: What is the particular solution if y(1)=D0? 1/2 xy = y+ (a² + y³)2

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Q: Obtain the general solution unless otherwise instructed . (D² − 3D + 2)y = e²x(1 + e²x) −¹ Yc = Ур =…

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Q: Obtain the general solution using variation of parameters. (D^2 − 1)y = e^x + 1

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Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. ye2xdx = (4 + e2x)dy

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Q: Determine a general solution for the DE : y" + 2k?y' + k*y = 0

A: We have to find the solution for given differential equation

Q: Q.4 Use the method of separation of variables to solve 2.xyU, +2U, = 0, U(x,0) = 3e %3D

A: Standard quasi linear  partial differential equation is given as: p∂u∂x+q∂u∂y=r  Lagrange method for…

Q: a) Solve the following linear equation by Cramar's rule:- - y+ 2z = -4 x + y - 4z =-6 x+ 3y – 4z = 4

A: Note- Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: A Find the general Solution of y"ty=2xcorx -Cosx %3D

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Q: 1. y' = x3 – 2xy, when x = 1 and y = 1

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Q: Find the particular solution of y" + 2y' – 3y = 0 when x = 0, y = 0, y' = -4. %D

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Q: (b) Solve: (x*D² - 2XYDD' - 3y'D? +xD-3yD')z = x'ycos(Inx').

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Q: Find the general solution of: x² = y² QY_ dr

A: We have to find general solution of given differential equation.

Q: Obtain the particular solution of (3x² – 2y²)y' = 2xy when x = 0,y = 1. a. x2 = 2y² (y + 1) c. x2 =…

A: Let's find.

Q: (2) ydx + (x + x³y²)dy = 0

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Q: 'ind the general solution of d³y 6. dr3 dy - 8y = 21e2 dr dr2

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Q: Find the general solution of y"+25y=sec(5x)

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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.