3) Find the solution of the differential equation y = -ry + (/')².

Q: 7) Determine the particular solution to the differential equation y 3x-2 that passes through the…

A:

Q: Find the general solution for differential equation.

A: Use linear differential method to solve

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y=ae +be¯ª.

A:

Q: Find the differential equation by eliminating the arbitrary constant y= A + bex

A: Solution:-

Q: 3. y'-5y = x*e* - xe* – xe³x

A: 3. the given differential equation is y'-5y=x2ex-xe5x

Q: Use undetermined coefficients to solve the differential equation y"" -y=e¹- x + 16.

A: We have given a differential equation ,  y''' - y = ex -x + 16 First we will find complementary…

Q: (b) Form the differential equation by eliminating the arbitrary constants a,b from y = aez + be 8z

A: Differentiate twice with respect to x then we get the answer

Q: Form the differential equation for the function 2x-y-Dasin(2x-b)

A: See the attachment

Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

Q: Solve the differential equation y' = x + y by making the change of variable u = x + y.

A: Given y'=x+yand u=x+y

Q: Solve for differential equation (3x2-2y2)y1=2xy

A:

Q: From the differential equation by eliminationg the arbitary constant A,B from y=Ae7x+Be-7x

A:

Q: What differential equation has general solution  y=c1e^(5t)+c2te^(5t)?

A:

Q: Consider the differential equation: 1 y" – y = What is the general solution?

A: We have to find the general solution of the given problem.

Q: y" tuy=3(sct

A:

Q: Find a linear differential equation with constant coefficients satisfied by e2x, e-x, e3x and e6x

A:

Q: Suppose that a fourth order differential equation has a solution y = -3e5Isin(z). Find the initial…

A:

Q: Explain how to solve a separable differential equation of the form g(y) y'(t) = h(t).

A: A separable differential equation is one in which the terms of two variables in the term can be…

Q: Find the ordinary differential equation from the general solution: y = Ae-* + Be-*

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: Solve for differential equation of (y/x + 6x) + (ln x - 2)y′ = 0

A: Explanation of the answer is as follows

Q: Reduce the differential equation: x2(y-px)=yp2 to chairaut form and find its genenral solution

A:

Q: What is the appropriate method to find the general solution of this differential equation?

A:

Q: Find a differential equation whose general solution is y = cie®t + cze¬,

A: The complimentary function of the differential equation if the root of the auxiliary equation are…

Q: yu) + 2y"+ y - x²sinx

A: The given differential equation is: y(4)+2y''+y=x2sin x

Q: 12. Solve the second-Order differential equation: -y = e* (use method of variation of parameters)

A:

Q: 2. Form the differential equation from the family of curves y² = Ax² – Bx² , where A and B are…

A:

Q: Determine the appropriate form for yp on the differential equation y" = 9x^2 + 2x - 1 %3D

A:

Q: 12. Solve the second-Order differential equation:- y = e* (use method of variation of parameters)

A:

Q: Find the general solution of the differential equation with clear steps.

A:

Q: Determine if the function is a solution of the differential equation y''-y=0

A: y''-y=0 y'' represents the second derivative  we find the roots , by writing the given equation in…

Q: 3. Show that the differential equation zxy

A:

Q: 3. Form a differential equation by eliminating the constants a and b: y = ax² + bx

A:

Q: How would you solve the differential equation y'=2t-y using separation of variables to find y(1)?

A: Consider the given differential equation, y'=2t-ydydt+y=2t The above equation cannot be solved by…

Q: y² = 14eax-

A: Given y2=14eax The objective is to form the differential equation by eliminating the constant.…

Q: Form the differential equation by eliminating arbitrary constants:y=ax3+bx2

A:

Q: equation

A:

Q: 2. Solve the differential equation- + x, with y(1) = 1.

A:

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y ae" + be-ª.

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: (D² − 4)y = 8e²x – 12 -

A:

Q: find the solution of differential equation 2 y3 y' +- y

A:

Q: Find the differential equation whose complete solution is y=c1e-x+c2ex+4x using elimination of…

A:

Q: 2. Find the differential equation having the solution as the equation representing all lines with…

A:

Q: Form a differential equation by eliminating the arbitrary constants A and B from the equation y =…

A: to find differential  equation we first form two Equation by differentiating y two times using…

Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

Q: (4) Form the differential equation by eliminating the arbitrary constants a and b from y = aeª +…

A:

Q: Find the Differential equation by eliminating the arbitrary constant x2 - y2 = a2

A:

Q: 4. Obtain the Differential Equation from the family of curves of the form y = xC

A: To form a differential equation from given family of curves. Differentiate given family of curves…

Q: Solve Bernoulli differential equation of y + ry = ry².

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.