Q1: Solve the following O.D.E у"- Зу'- 4у%3DЗе + 2 sin x - 8e* cos 2.x.

Q: (2х + 1)у? y' = y2 - 1

A: It's not clear what needs to be done in this question. To me, it appears that you want this…

Q: Solve the D.E.: (2xy - 3x^2) dx + (x^2 + y) dy = 0 Show your solutions on a separate sheet of paper.…

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Q: Solve for the first-order DE: y’+y-y^2(cos2x-sin2x)=0

A: Solution: A first-order Bernoulli ODE has the form of y' + p(x)y =q(x)yn Rewrite the form of…

Q: Solve (yx-2x^4)p+ (2y^4 - x³y)q = 9z(x? - y^3)

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Q: x' + 4z' + 16 = 0 (ans. : 17 i/3 ; -17iV3 Find all solutions of the equation:

A: Given polynomial is: Let us assume   Transformed integral is given by:…

Q: B. Solve y' + = y²x*.

A: the given differential equation is: y'+4yx=y2x3 the differential equation can be written as:…

Q: (b) Solve : d²y - 3.x+5y= sin(log x) dx dy dx हल कीजिए dy 2dy- 3x+ dx Sy sin(log x) dx

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Q: X 2 11 у"-3 ху +3y= С Ex

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Q: 2. Solve the initial value problem z""+x" - 4x' - 4x = 0, x(0) = 1, x'(0) = 0, x" (0) = -1. Hint:…

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Q: solve the following DE X^4 y' + 66x^3 y = x ^-2 cosx

A: The given differential equation is  x4y'+66x3y=x-2cosx.   The by parts formula of integration is…

Q: 3.- Show the differential equation is exact, then solve the equation. dy _ 3x2 - 6ху Зx? — у dx

A: To show that the differential equation is exact and to find the general solution

Q: Solve the given initial-value problem. -(-) 8 -1 -9- X' = 5 x, X(0) = %3D 7t X(t) = cos(: 8 7t -7…

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Q: solve A) y''-2y'=6e^2x-4sin(x)

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The general solution for the equation y'=x*e(x^2+y) can be given in the form of: ?ex^2+2e-y=k a) x…

A: Solve by separable variable method

Q: y"-7y'=(2x-1)sin 2x

A: Differential equation

Q: Reduce the EDO to first order and solve by showing each step in detail

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Q: Solve by variation of parameters: 2x²y" +5xy' + y = x² - x

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Q: 7. Let z1 = 3-j; z2 = -2 +j8, find cosh {sin [In (1 + z1′ + z2")(√ − z1″ + z2')}" 8. Refer your…

A: 7.Hint: Here the values of z1 and z2 are given. Differentiate the values as required and calculate…

Q: dy _ xy+2y- x- 2 Solve dx xy – 3y+x – 3

A: I am attaching image so that you understand each and every step.

Q: Question 5 > Find a particular solution to the equation using variation of parameters. y'' – 10y' +…

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Q: aN) 1 dx ) M 5 ду y

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Q: Solve the given equation using the indicated method

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Q: Consider the initial value problem 1 Y1 -4 2 5 cos(4t) [Y1(-1)] [y2(-1). This initial value problem…

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Q: Solve 1- y y' = ² + cos(²)

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Q: Find the solution. (403+12D²+13D+10)y = 0. @ y=c,e+e>(c,cosx + c sinx) +c,sinx) -3x y =…

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Q: differential equation y = C, sin(5x + C2) as its general solution. a) Oy" – 25y = 0 b) Oy" + 25y = 0…

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Q: Apæ'/s-1/Apy/s-1 %3D

A: The given equation is: xy=λρx1s-1λρy1s-1

Q: Solve the following linear system and sketch its phase portrait * = [¹ =1] x.

A: Here for a given homogeneous matrix linear system we have to solve it and then sketch the phase…

Q: Solve the equation y' = x/r? + 1/(ye") and graph sev- eral members of the family of solutions (if…

A: the given differential equation is: y'=xx2+1yey we have to graph the several members of the family…

Q: -3x тебезх GS: y = (₁ e ²x DE y + y' - 64=0

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Q: Solve the particular solution: Answer both. 1. 2y''+y'=3

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

Q: Solve using undetermined coefficients. Use A, B, C and etc. for constants. 4. (D²+25)y = cos5x +…

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Q: Solve y" - 5y' + 6, using characteristic equation.

A: Given differential equation is y'' - 5y' + 6

Q: Solve the following differential equation CSCX у' — secxу %3D4 Select one: O a. YG.S= cscx(2sin?x+c)…

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