Solve the following DE: (x2+ 1) dx + x2у2 dy -D0 о ху - 2(3 + Сх+x?) о ху? 3 2(1 + Сх - х?) о хуз - 2(1 + Сх+x?) о ху3 3 3(1 + Сх- х?)

Q: 1-V3x+2 dx 1+v3x+2

A:

Q: Solve for x.  Solve for y.

A: Given:

Q: 2.3 - Can you show the steps to solving this problem? Differentiate. (33) y = (t^3 + 3t)/(t^2 - 4t…

A: Please see the white board for the quotient rule of differentiation. In this case f(x) = f(t) =  t3…

Q: L(1-a) ( In =) dz 4 1 L6(1-2) ( In =) dr

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Q: D. y" + y' - 3y = 4sin 2x

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Q: z'dz 214

A: We have to find ∫x2 dxx3+4.

Q: D3-7D² + 16D-12)y=e^7x + Cos5x + Sin5x

A: Given:

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A: We have given exterior angels of the Pentagon i.e.  4x,5x,x,2x, and 3x

Q: y" + y' - 3y = 4sin 2x

A:

Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

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Q: Kindly solve using algebraic substitution. x3 dx Vx2-1

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Q: Solve the equation by determination method: Inx + e» + tanz = 3 ... (1) 2lnx + 4tanz = 5+ ev (2)…

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Q: What is the general solution of 3 (3z + y') dz – 2zydy = 0?

A:

Q: Obtain the general solution to the equation.

A: dydx=yx+5x+9dydx-yx=5x+9Integrating factor If=e∫-1x dx                                =e-ln x…

Q: + xy' + y = 8 Inx

A: Consider the given differential equation as x2y''+xy'+y=8lnx. Since the differential equation is…

Q: Solve for y 6 + 3y = 12 O y = 2x + 12 Oy = -a+ 4 O y = -2x + 4 Oy=-2x + 12

A:

Q: dy 2 Solve (x2 - 1)+ 2xy x2-1

A: (x2-1)dydx+2xy = 2x2-1dydx+2xx2-1y=2(x2-1)2this Diff eq is Linear Diff Eq.dydx+P(x) y =…

Q: Solve second order DE y" - 4y' + 4 = 0

A:

Q: Q3. Solve he 1X+41>2 yollowing ineqralitisom2. . Ix -1|s /2x+3/ m/onli 4 1x-31 d. X+3 e. x-8x+7<o 2.

A: Please post questions with multiple subparts separately.a) x+4≥2We know that,If x≥a, a&gt;0then,…

Q: Solve [15x/1- xdx . S 3xV3x2 + 4 dx = --

A: 1) the given integral is 15x sqrt(1-x). 2) the given integral is 3x sqrt(3x2+4).

Q: Solve for x. = = 3x-4y olo X

A: Given linear equation is : z = 3x - 4y

Q: to the equation (D²-1)y(x) = x'-x+1 y(x) = qe" +ce" +x-5x+1 -t yx)=ge" +ce --5x-1 - y(x)=qe'…

A:

Q: -e-²* )dx

A: Since you have asked a question with multiple subparts so as per guidelines  we will  solve the…

Q: 3y = 3xy' + y'3

A: Solution: Here 3y=3xy'+y'3 Divide both sides by 3 y=xy'+13y'3   ......(1) Let dydx=P Then from…

Q: how did this equation Hx = exp P (ny + ). ož = vi[exp (o,) – 1] turned into this equation 1 In Hy =…

A:

Q: Solve using MUC: '-8y + 16y=2(x+12) 3 y= C, e^X + C,xeAX + 8. X- 2 7 3 y=C; eX + C,xe^* + 7 X- 2 B…

A:

Q: cIn2 cln5 e2r+y dy dx

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Solve using the method of variation of parameters 1 у" + Зу' + 2у 1+ e*

A: Using method of variation of parameters

Q: solve: [Cax+3)*D²+6(2z+3)D +bJ y 18log (az+3) Answer 7 = fA cos (2243 alog caz+3) –4 +BBin/ x+3 22+3

A: It is an Cauchy Euler differential equation

Q: |番,曲 1 dx (r-2)² 5. 2.

A: Given :

Q: |2/2r| 2, dx -1

A: Let I is the value of given Integral.

Q: 21x? x³ - - dx x² - 12x

A:

Q: Solve d2y/dx2+y=cosecx by using method of variation of parameters.

A: Consider the given differential equation d2ydx2+y=cosecx

Q: b, Solve dy- y -n3y²--x5 finding particular solution.

A: Solve DE

Q: Solve Hhe difforenhal aquahon d3y dx3 2X (I+x)e -7 -

A:

Q: dx 4 3+Vx+2

A: Topic = Derivative

Q: Solve for x  X-Y+Z=A

A:

Q: Solve for the values of “x" in the equation x+2y+y^2=3x-x^2+5, using Secant Method *

A: The secant method uses the formula, xn+2=xn-f(xn)⋅xn+1-xnf(xn+1)-f(xn) to perform the iterations.…

Q: 4. Solve for x. MZWYX = 56x +1 M2WLX = 58x - 1 4. Solve for x Y

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Q: How are you getting a negative for a and where is the equation coming from for b?

A:

Q: ∫−4x2(4x3−1)7 dx. Do not include the constant "+C" in your answer. For example, if you found the…

A: Given:-∫−4x2(4x3−1)7 dx We have to find antiderivativeLetI = ∫−4x2(4x3−1)7 dx — (1)Substitute4x3 - 1…

Q: b) ху %3D Зу — 2

A:

Q: H-W. Min 2=20X メー+2-メ Ya 3 Const.

A: Given: MinZ=20x1+10x2x1+2x2≤403x1+x2≥304x1+3x2≥60

Q: Solve: (D - 2)²y 8(e2x + sin2x + x2

A:

Q: Solve (D - 4D +4) y = 8xe2* sin 2x

A:

Q: solve 3 2 y co) = dx2

A: Given that: d2ydx2=32y2,   y(0)=1 and y'(0)=1

Q: 1. Solve [6x²e*, 35x-3,x>0 ,x<0 [w(x)dx if w(x)= а. b. 3cos 2xsin 7xdx

A: we have to solve the following Integration ,  a) ∫-11w(x)dx if w(x)=6x2ex3,x≤035x-3,x&lt;0b) ∫3cos2x…

Q: d) Verify if y = 2e* + x - 1, solves y' = x - y

A: If y=2e-x+x-1, solves y'=x-y

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.