finda general solution, show the steps of derivation. y' = (y+4x)2   (set y + 4x =v)

Q: Use the method of undetermined coefficients to solve the differential equa- -2x y" + 5y' + 6y = e-®…

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Q: x-1, X)1 find the generol solution of the differential eguation below

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Q: Solve using separable differential equations dv 1- 4v2 ,when x = 3, y = 2 3v dx

A: The given differential equation is: xdvdx=1-4v23v          x=3  when y=2

Q: Solve the differential equation by variation of parameters. y′′ + 3y′ + 2y = (1/9+ex)

A: Step:-1 To find solution of differential equation y''+Py'+Qy=R using variation of parameters, first…

Q: Find the general solution of the differential equation. (Use C for the constant of integration. 24…

A: Solving the differential equation

Q: d the general solutio

A: Given,           y'+2xy=y

Q: Find the general solution or particular solution of the DE.

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Q: What can be the method of solving the DE? 2xyy' = y² – 2x³3 Bernoulli's DE Substitution suggested by…

A: Let's find which method is suitable.

Q: Solve dy/dx = y -x with y(0) =1 using the linear multi-step method Yi+1 +(3/2)yı -3yı-1 +(1/2)yi-2 =…

A: First solve the given differential equation: Given : y'=y-xy'-y=-x The given differential equation…

Q: Using the DIFFERENTIAL EQUATION METHODS, solve for the particular solution of the differential…

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Q: y′= (6xe^(6x)) X (cos^(2) (6y)) a) Write the equation in an integrable form by separating it into…

A: Solve using variable separable method.

Q: Solve the differential equaton 2x2dy=(x+y)2dx

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Q: Given the differential equation -(승) (중), y" Find two values of r such that y = x' is a solution of…

A: The given differential equation is y''-6xy'-8x2y=0. Let y=xr. This gives  y'=rxr-1     and…

Q: Obtain the differential equation of a parabola with axis parallel to the x-axis. Select the correct…

A: The correct response is option (A) i.e., 3(y")² - y' y"' = 0

Q: Use the integrating factor to solve y' = -3a²y + sin(x)e-*, with y(0) = 1.

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Q: Solve the differential equation by variation of parameters. y" + 2y' + y = e-t In(t) y(t) =

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Q: Solve the differential equation using the Method of Undetermined Coefficient. Show your solution.…

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Q: Find the integrating factor for the differential equation and solve it, (x³ – y) + xy' = 0. Can you…

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Q: Find the general solution of the differential equation. (Enter your solution as an equation.) V1-…

A: On simplification, we get

Q: The integrating factor of the non exact DE ydx-xdy=- is -1/x^2, show your solution

A: We have to find

Q: Find the general solution of the differential z-y+3 equation y' I-y

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Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

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Q: dy = -y + 2 with the initial value y(0) = -2 dx

A: Explanation of the answer is as follows

Q: 3. (x² – xy + y²)dx – xy dy = 0

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Q: 2. x³ydx+(3x² - y³ )]dy=0

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Q: x²y" – 3xy' + 4y = x³Inx |

A: The solution is given as

Q: solve

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Q: Solve the differential equation by using variable separable method: (1+x²)xy = (1+y²)(1 +x² + x) %3D

A: We have to solve the given differential equation by using the variable separable method…

Q: Solve the differential equation with the given values. y' − 3yx = 0 and y = 4 when x = 2

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Q: find a particular solution yp of the given equation. primes denote derivatives with respect to x.…

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Q: solve the equation using differential equation linear in x and y: (2x-3y-5)dx + (3x-y-2)dy = 0;…

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Q: Find the general solution to the differential equation y = e8*e10y y = help (formulas) Use the…

A: The objective is to find the general solution to the differential equation.

Q: Solve differential equation are separable  y'=y^1/2

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Q: Solve the differential eqution y'-y=7e^x

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Q: Verify that the general solution satisfies the differential equation. Then find the particular…

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Q: Solve the differential equation by variation of parameters. y'' − 4y = 4x/e^2x   y(x)=

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Q: Solve the differential equation by variation of parameters. 9x y" - 9y = %3D 3x e y(x) =

A: The given differential equation is y"-9y=9xe3x.

Q: Describe two ways to find the general solution of (dy/dx) + 3xy = x. Verify that each method gives…

A: Given: The differential equation is dydx+3xy=x We have to find the general solution by two ways.

Q: Solve the differential equa 5. y' = 2x?y – 4y %3D

A: The solution for the asked question is given as

Q: Obtain the General Solution. If the differential is homogenous, show the solution for homogeneity.…

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Q: Solve the differential equation by variation of parameters. 1 y" y² + 3y + 2y = 2 + ex

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Q: Solve the differential equation by variation of parameters. y" + 3y + 2y = = 1 2 + ex

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Q: Use the variation of parameters to find the general solution of the differential equation (Use only…

A: Method of variation of perameters

Q: Find a linear homogeneous constant coefficient equation with the gen- eral solution y = (A+ Bx)e-2*…

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Q: Solve using 3 Differential techniques: (w^2+6z^2)dw−4wzdz=0; x=6,y=9

A: follow next step

Q: Y"+4y'+4y=e-2x Lnx

A: Given differential equation is y''+4y'+4y=e-2xlnx. Now auxiliary equation is m2+4m+4=0⇒(m+2)2=0…

Q: Find the general solution of the differential equation. (Enter your solution as an equation.) V1-…

A: Given DE is 1-4x2 y'=x find the general solution of the given DE

Q: Find the general solution of the differential equation y" + 2y' + y = 10e-t. NOTE: Use c, and ce for…

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Q: Solve the differential equation by variation of parameters. y" - 2y + y = et arctan(t) y(t):

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.