y" + 2ý + y = 6+ 4e-3x

Q: 7. (х + 2у)dx — хау 3D0 Ans:y 3 x(сх — 1)

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Q: 10. Find the general solution of the first-order linear differential equation. dy dr y = el 10x

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Q: State the case and solve for the general solution of the given special second-ordered differential…

A: We have the differential equation given by yy''+y'2=y'. We now have yy''+y'2=y'⇒yy''+y'y'=y' By…

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

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Q: 2. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy =0, we let

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Q: (x + y - 4)dx - (3x - y - 4)dy = 0; whenx = 4, y = 1

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

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

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Q: 5. Find the general solution of this first-order linear differential equation. dy + 3x3y = 3x3 dx

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Q: Find the general solution of the given second-order differential equation. 3y" + y' = 0 y(x) =

A: Given second order differential equation is 3y"+y'=0.

Q: (4) the values of the constants m and n for which y differential equation = mx +n is the solution of…

A: The given differential equation is d2ydx2+6dydx+10y=10x. The given solution of the DE is y=mx+n.…

Q: 2. Solve the differential equation (3x2 – x³ + 3y – 3.ry – y°)d.x + 3(x + y²)dy= 0, - -

A: Disclaimer: Since, you have requested for a handwritten solution and currently we are not providing…

Q: The particular solution of the following nonhomogeneous differential equation y"-2y' +y = x² +e-* by…

A: Given nonhomogeneous differential equation:y"- 2y'+ y= x2 + e(-x)  ;

Q: 5. Find the specific solution of the differential equation Oy=ex² O y=-1- ²³/2 O y=-ex None of these…

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Q: 18.Find the general solution of the differential equation %3D xp xy-y2

A: To solve the given differential equation, first we convert it into separable form, and then we find…

Q: (9) Show that the solution of the differential equation y + y = -6ye» with y(0) = -1 is (e* –…

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

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Q: 2. The differential equation (4x'y'-6x'y-2r-3)dr +(2x*y-2x' ty = 0 is exact because aN

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Q: 5. Find the general solution to the differential equation et y" – 2y' + y 1+ x2 (where y' = )

A: Let us consider the differential equation y''+py'+q=g(x) To solve the equation  Determine the…

Q: 1. Use the method of separation of variables to find the general solution to the following…

A: Consider the given differential equation, x'=e-2x It can be written as, dxdt=e-2x Multiply both…

Q: 4. Choose a solution to the differential equation y" + 3y' + 2y = sin eº. -2x -2x cos €² e + e е -2…

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Q: 2. Find the general solution of the given higher-order differential equation y(4) + y" + y" = 0. %3D

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Q: Find the general solution of the given higher-order differential equation. y''' + 3y'' + 3y' + y = 0…

A: The initial value problem is,

Q: If we use the method of undetermined coefficients, the particular solution of the following…

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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: 5. xdy = (y + 2x³)dx

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Q: Find the general solution of the given second-order differential equation. 9y"+y' = 0 y(x) =

A: General solution of real roots is used.

Q: x+ y, (e* + In y)dx + (dy = 0

A: We have to solve the given first-order differential equation…

Q: 4) Match the graph of the particular solution curve to the differential equation. (а) у" — Зу' — 4у…

A: First we calculate the general solution then match with given graphs.

Q: 1) Find the general solution of the differential equation. y^(4)-y=4t+cos(t)

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Q: 5. Find a general solution of the differential equation: y" + 4y' = 2x – 1

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

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Q: Find the general solution of the given second-order differential equation. y" + 9y = 0 y(x) =

A: Given equation, y''+9y=0 It can be written as, (D2+9)y(x)=0, where D=ddx

Q: 1. Find a general solution for the Differential Equations dy x- -y = x dx

A: As per company guidelines, we need to answer only one question. So, kindly repost the other…

Q: 5. Find the general solution of the given second order differential equation: y" + 8y' + 16y = 0

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Q: Find the general solution of the given second-order differential equation. 3y"+y' = 0 y(x) = =

A: To find out the general solution of the given differential equation.

Q: 4. If the characteristic equation of the differential equation y"+2y'-3y =0 is m² + 2m –3 =0, then…

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Q: If we use the method of undetermined coefficients, the particular solution of the following…

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Q: I. Find the general solution of the given differential equation. 1. y' + 2xy = x3

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Find the general solution of the given higher-order differential equation. y""8y" - 9y' = 0 y(x) =

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Q: 18. The solution of the differential equation 2xy = x² + 3y² when y(1) = 3 is dx

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Q: Find the general solution of the given second-order differential equation. 3y" + y = 0 y(x) = ||

A: We have to find the general solution of given second order differential equation

Q: 5. Find the general solution of the given differential equation y" + 3y" + 3y + y = 0

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Q: 8- The solution of differential equation y" + 4y = 0 is.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 2. A solution for the differential equation is y = Pe-3x/2+ Qe¬x!2.

A: Let's find.

Q: 1. Find the general solution of the given differential equations: y/ - y = x +1

A: We have to solve the given differential equations.

Q: 2. (x+2y-1)dx - (2x + y - 5)dy = 0

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Q: 4 =z² and the initial condition y(1)= a, what is the dr Given the differential equation (2+2) ?…

A: As per guidelines, We will answer only first one question if others was not specified.

Q: 4. Find the general solu tion of the differential equation (2² – 1) dy + 2y = (r+1)2.

A: This is a linear equation and we have to write it in the form of d(y)/dx +Py =Q

Q: 1. Find the general solution of each of the differential equation y" – y' – 12y = 0.

A: As per our guidelines we can solve only one question at a time please post unsolved again.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.