- In order to solve a Bernoulli Differential equation, we will first use variable substitution to transfer the original DE into a homogeneous differential equation.

Q: Determine the general solution of the given differential equation. -t y""+y" + y + y = et +9t NOTE:…

A:

Q: 2. Solve the differential equation ry-(1+2)y = ry? by using appropriate substitution. an

A: We have

Q: y' - 5y = -xy, y(2) = 1 %3D

A:

Q: 1. x²y' + 2xy-5y³ = 0

A:

Q: 2. Find the general solution of the given higher-order differential equation y(4) + y" + y" = 0.

A:

Q: (D² – 3D + 2) y = (1+e-*)?

A:

Q: dy- de %3D x²+x+1 山元

A:

Q: 1. Solve the ordinary differential equation, dy z+zy? dz

A: Let us solve the Ordinary differential equations in the next step.

Q: 1) Solve the Bernoulli differential equation with the given initial condition. -2xy = 3y". ) =.

A: okok

Q: Find a general solution to the given differential equation. 5z" + 3z' -z = 0

A:

Q: Find the general solutions of the given differential equations.

A: In this question, we solve the system of differential equations by the method of elimination.

Q: 2 1. (D2 — 1)у 3 ех — е-х

A:

Q: a) Find the general solution of following differential equation: dr -2tr, r(0) = ro- dt

A: Question-1 a) To find the general solution of the differential equation: drdt=-2tr, r(0)=r0

Q: 1) Solve the Bernoulli differential equation with the given initial condition. x-2xv = 3y“, >0 =

A: Given: x2dydx-2xy=3y4  The initial condition is:  y1=12 Dividing the give equation by x2 , we have:…

Q: у" - у' - бу %3D 0

A:

Q: y?y' = 2x y(0) = 3

A:

Q: Find the general solution of the given higher-order differential equation. y(4) + y''' + y'' = 0…

A: The given differentail equation is  y(4) + y′″ + y″ = 0.

Q: Find the general solution of the given differential equation. y'' + y' + y = 0

A: To Find the general solution of the given differential equation.y'' + y' + y = 0

Q: + tx* + = 0 + tx3 +

A:

Q: This is a second order differential equation, Give the complementary solution? xy"-2xy+2y = 2xe

A:

Q: y+ e*y= e*y²

A: Given differential equation is : dydx + ex y = ex y2   ⇒ dydx = ex (y2 -  y)   We will use…

Q: Determine the solutions of the following differential equations using Type IV:

A: Given that: (x2-x-2y+1)dx-xdy=0 and y(1)=12

Q: find the degree of the differential equation y''-12cosec y= 0   3 1 4 or 2

A: The order of the differential equation is 2.

Q: find the general solution of the first-order linear differential equation. 3xy' − y = x−1

A:

Q: What is the general solution of the first order differential equation a csc (2) – B da + a dß = 0 if…

A:

Q: 2:(y –x² }tx+ dy =0 1.

A:

Q: Find the general solution of the first-order linear differential equation. +3y=6 dx

A: Let the given differential equation is: dydx+Py=Q where P and Q are functions of x (or constants)…

Q: (a)Find a differential equation (DE) whose general solution is y = (c, +ct )e¯ +c; cost +c, sint

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: What is the general solution of the first order differential equation a csc (2) - B| da + a dß = 0…

A: Given that first order diffrancial equation is αcosecβα-βdα+αdβ=0  function α=fβsolution…

Q: Solve the second order differential equation of y"-2y'-3y = e* .

A:

Q: Find the general solution of the given second-order differential equation. y" - y' - 12y = 0 y(x) =

A:

Q: y +v3) æ + cz = c¡ e(-2 C2 e(-2-v3).

A: In order to obtain the differential equation consider the coefficient of x in power of e as roots of…

Q: Specifically a differential equations problem. Question in pic below.

A:

Q: 1) Solve the Bernoulli differential equation with the given initial condition. -2xy = 3y", 0 =.

A:

Q: Find the general solution of the given second-order differential equation. y" - y' - 20y = 0

A:

Q: ) Find solution to the differential equation Vi- 2xy'=3y

A:

Q: A solution for the differential equation is y = Pe-3x/2 + Qe–x/2, %3D

A:

Q: ) xy dx - (xt2) dy =0

A:

Q: 5 Find the general solution to the differential equation y - where x > 0. y = +C

A:

Q: Solve the differential equation 4y=e' by using the method of variation of parameters.

A: Given: d2ydx2-4y=ex We have to use the method of variation of parameters to solve the given…

Q: Find the general solution of the given second-order differential equation. y" - y' 20y = 0 y(x) =

A:

Q: (e– 1)y' = 2 + cos.x -

A: Let us consider the differential equation of the form dydx=f(x)g(y) Rewrite the equation as…

Q: 2(2x? + у?)dx — ху dy %3D 0

A:

Q: Test the differential equations for exactness and obtain the general solutions. 1. (x + y²)dx + (2xy…

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

Q: The solution of the differential equation y' + 2xy = Ky when y(1)= K is

A:

Q: y' - 5y = -xy, y(2) = 1

A:

Q: Find the general solution of the given second-order differential equation. у" - у' — 30у %3D 0 y(x)

A: