3. x(8+ у3)dx + Зу?/4 — х-dy %3D0 4. еУ(5 — х)dx %3D хуdy

Q: Find the particular solution for the differential equation y' = 4xe2x and y(0)=20.

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Q: 4. Solve the differential equation by undetermined coefficients: y" +y' – 6y = 2.x. -

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Q: What is the complementary solution y, for the differential equation y"- 4y= 12.x

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Q: Find a general solution for the given differential equation with x as the independent variable.…

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Q: Find the particular solution that satisfies the differential equation and the initial condition.…

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Q: Solve for the general solution of the below differential equation y" + 8y + 25 0

A: Given the differential equation is y''+8y+25=0. Calculate the general solution of the given…

Q: 3. Determine the solution of the differential equation +-y x3 given that y (1) A ax +R

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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: What is the order of the differential equation which has a general solution given by y = Ae" + Be2 +…

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Q: Find the particular solution for the differential equation y' 4xe2x and y(0) =20.

A: Given that a differential equation and we find its particular solution . and also given that a…

Q: y'=6(y-2.5)tanh1.5x

A: Given differential equation is y'=6y-2.5tanh1.5x      ......1 or dydx=6y-2.5tanh1.5x

Q: 5. Find the general solution of the differential equation y=(2y4+2x)y'.

A: Given differentiatial equation: y = (2y^4+2x)y'  Here y'= dy/dx

Q: y(4) + 4y" + 4y = 0

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Q: 5. What is the general solution of the following differential equation ( .6³yod?y =0)? ,d*y +9. dx2…

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Q: Find the general solution of the differential equation: xy' + y = 3 + 7x. - Use lower case c for…

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

Q: Find the solution of the Linear Homogenous Differential Equation with Constant Cofficients. (2D4 +…

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Q: What is the solution of the following differential equation that satisfies y (1) = 7 and y '(2) = 3?…

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Q: 5. y'+y = xy³; y(0) = 4

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Q: y" – 3y' + 2y = 3e + 2e2* -

A: Given,y''-3y'+2y=3ex+2e2xNow,Auxillary equation ism2-3m+2=0m2-m-2m+2=0mm-1-2m-1=0m-1m-2=0m=1,2Since…

Q: y(7) – 3y(6) – 4y(3) = 0 6

A: We have to solve this differential equation  y(7) - 3y(6) - 4y(3) = 0.

Q: 5. Find the solution of the differential equation using Variation of Parameters. у" - Зу" + Зу 3 E

A: Given y'''-3y''+3y'=exx

Q: find the general solution of the given differential equation.  y(6) − y″ = 0

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Q: Find the solution of the following Differential Equations by Homogenous Equation 6) y'=+x y-x

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Q: 10. (x² – 1)y" + 2y' – (x – 1)(x + 1)² = 0 %3| - -

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Q: 3. (2xy-x + 2y - 1) dx +(4x²y² - x² + 4xy² -x) dy = 0

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Q: 6. y(6y2- x- 1)dx + 2xdy = 0; y(0) = 1 %3D

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Q: Find the two values of k for which y(z) is a solution of the differential equation y'" – 1ly' + 24y…

A: Given y''-11y'+24y=0---1

Q: 4.Solve the linear differential equation for general solution y′′ + 16y = 0,

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Q: Solve for the Differential Equation m 1. y= -- 7 2. y = Ce-2* + Cze* + 1 3. Ae* + Be-* = Iny

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Q: Find the general solution of the differential equation: et y" – 2y' +y = 1+ t2

A: Given differential equation y''−2y'+y=et1+t2 We have to find the general solution of the given…

Q: Match the differential equation with its solution. y' - 4x'y = x3 %3D

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Q: Solve the differential equation by variation of parameters. 1 8 + ex y" + 3y + 2y = t

A: We have to find the general solution of the given differential equation by Variation of Parameters.…

Q: Solve the differential equation. regarding y as the independent variable rather than x. by |26. (1 —…

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Q: Determine the solution to the initial value differential equation y'+ 8 y2 e4 x 0, y (0) = 9 y (x)…

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Q: Solve the differential equation y Pemer 6a y5 subject to the condition that y 3 when = 3.

A: Here we have to solve the given differential equation

Q: Find the particular solution to the given differential equation that satisfies the given conditions.…

A: Let y = emx is the solution to the differential equation, so…

Q: Find the general solution of the differential equation: y' + 4y = tet Use lower case c for the…

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Q: Find the general solution of the differential equation: 'y'+4 y = x y^(7/2)`. Use lower case 'c for…

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Q: 2)By using y' = p substitution, solve the differential equation xy" = y' + x(y')².

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Q: 2+ yеху y' : 2у — хеху

A: The given differential equation is:…

Q: Find a differential equation whose general solution is -4t y = cjet + cze¬4.

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Q: Solve the given third-order differential equation by variation of parameters. y"' – 3y" + 2y' =…

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Q: Find the general solution to the differential equation y + 15x4y = x'5 Use the variablel = [ e" dx…

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Q: Q4) Find the general solutions of the following differential equations b) x- +y = x*/y

A: We shall solve first question only as per guidelines . For others please post again

Q: Find the general solution of the differential equation: `y+4 y = x y^(7/2)`. Use lower case `c` for…

A: Given problem is :

Q: 2.Solve the linear differential equation for general solution y′′ − 20y′ + 100y = 0,

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Q: Solve the general equation and the unknown coefficients of differential equation if y(1)=2 and…

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Q: Solve the given differential equation by undetermined coefficients. y" + y" = 8x2 y(x) = %3!

A: The solution is given as

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.