• Q2/- Attempt one of the following: a- Solve the differential equation (D. E.) by using the undetermined coefficients dy d²y 6- dx2 dx + 9y = e3x

Q: Q4:A/ By using Exact equation solve the first order differential equation 2y² + yexy + (4xy + xexy +…

A: See this solution in below with details.

Q: solve the differential equation p2-7p+12=0,wherevp =dy/dx

A: First solve the given quadratic in p i.e. p2-7p+12=0 by splitting the middle term in such a way that…

Q: 2. y Inxlny da + dy = 0

A:

Q: Q2\ A-Find a general solution of each of the following differential equations :

A:

Q: Find the general solution to the differential equation: y' = 8x + e²r

A:

Q: Q2-A) Solve the following differential equation using separablemethod. dy 3x + 4x-4 2y - 4 dx

A:

Q: Solve the differential equation dy 1 dx Зу3 By the method of separating the variables

A: To solve the given differential equation.

Q: Solve the differential equation y" + 5y' + 6y = 0.

A:

Q: Solve the differential equation of the given function by elimination of arbitrary constants y =…

A: we  need to find the differential equation for the given solution by elimination of arbitrary…

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: Formulas of differentiation and integration  ∫xndx=xn+1n+1+C∫1x=lnx+Cddxxn=nxn-1

Q: 8.) y Inxlny dx + dy = 0

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

Q: Solve the differential equation; yy`+ 25x = 0

A: Variable separable differential equation

Q: xyy' = x² + 1

A: We have to solve the given differential equation  xyy'=x2+1

Q: The complete solution to the nonhomogeneous differential equation (D^3 +D- 10)y = 116e^(4x), is %3D

A: Solution

Q: Solve the differential equation: a²y" + 2æy' – 6y = x³

A:

Q: Find the general solution (or the initial value solution if applicable) of the following ordinary…

A: We will find out the general solution for given differential equation using power series method.

Q: Solve the differential equation y′′ - 3y′ + 2y = ex - e2x

A:

Q: Solve the differential equation (D2+5D+4)y=2 sn ax

A: The given differential equation is   (D2+5D+4)y=2 sin(ax)

Q: Solve the differential equation 3yy' 7x.

A: Given differential equation is 3yy'=7x

Q: What will be the order of the differential equation if its solution is y=Acos7x-Bsin7x a. None of…

A: Homogeneous Linear Differential Equation with Constant Coefficients: A homogeneous linear…

Q: -y'-11ly 0

A: Given differential equation is y''-y'-11y=0

Q: Solve the differential equation by linear method dy 4 -2(x+1)* dx (x +1)

A:

Q: Find the differential equation whose general solution is y = A + B e^(- 4x)

A:

Q: V1- y²dx + /1– x²dy = 0 %|

A: Topic:- Differential equation

Q: Solve the differential equation x²y" – y = e¯*.

A: Solution of given equation is given as:

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: Concept: Initial value problem: An initial value problem is a difficulty in determining a function y…

Q: e"(dr+3rde)=0

A: To solve the given differential equations.  e3θ(dr + 3rdθ) = 0.

Q: 2. Find the solution of the given differential equation using any method. (D3 – 4D² + 7D)y = -11

A:

Q: Q3: Solve the High order differential equation: xy" – 26y' = 0 -

A: The given problem is to solve the given higher order differential equation. Given differential…

Q: Solve the differential equation: y" – 4y' + 4y =22 e2x -

A: General solution y(x) =(c1 +c2x)e2x+11x2e2x

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A:

Q: Obtain the general solution of the following higher order differential equation. 3. (D3 + 8D2 - D -…

A: The given higher order differential equation is D3+8D2-D-8y=0

Q: solve the differential equation: (Pe²y – x)dx = 2e²y(e²y + Px)dy with explanation

A:

Q: Find the general explicit solution to the differential equation y′ − 3x2y = x2

A: The given differential equation is y'-3x2y =x2. We solve the differential equation by separation of…

Q: Solve the first-order linear differential equation  y'-3x2y=ex^8

A: From the given problem:   y'-3x2y=ex8ordydx-3x2y=ex8   As we know that the standard form of linear…

Q: Solve the differential equation dy dx 3y3 1 %3D By the method of separating the variables

A:

Q: Q1/ Solve the differential equation by Undetermined coefficients. d²y dy 1- -3- e3x + 12x %3D dx2 dx

A:

Q: dy 6x²y² for y + 0

A: We have to solve given problem:

Q: Solve the differential equation y2 − 3x dydx = 6.

A: follow the next step

Q: Solve the differential equation dy dz (y²z+g²)

A: Given- dy/dx = 1/(y2x+y2) find- Differential equation. note- In solution c is just a constant.

Q: Solve the differential equation y' + 5y = 6y²

A: We have to use variable separation method here.

Q: Q1/ Solve the initial value problem (IVP) of the differential equation by using the appropriate…

A: Consider the given differential equation, 3xy'=6y+3x4cos2yx, where y2=0 first simplify the given…

Q: Solve the differential equation: yy'=t2

A:

Q: If y = c1e5* + c2xe3* is the general solution of the differential equation y" + ky' + my = 0, then…

A:

Q: Solve the differential equation on  Y=xp+p-p3

A: We have to find

Q: "The differential equation d2y/dx2+9y=seny is ordinary, linear, and second-order." Is it true or…

A: here in the given differential equation the dependent variable is x and independent variable is y…

Q: Solve the differential equation x²y"-y e 2*

A: The general solution of the second order, linear, non homogeneous ordinary differential equation…

Q: Solve the differential equation y" – 5y/ + 6y = e2«

A:

Q: Solve the differential equation y' – 2y = x²e3z

A: Given y'-2y = x2e3x It is the first order linear differential equation Compare it with y'+Py = Q…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: