If y = f(x) is the solution of (-x – 9)dx + (x2 + 10x + 41)dy = 0, f(0) = }In(41) +arctan(5/4), then

Q: Show that ¢(x) = Ce³* + 1 is a solution to dy/dx – 3y = -3 for any choice of the constant C. Thus,…

A: We have to check Q(x)=Ce3x+1 is solution of given differential equation.

Q: What is the general solution of the differential equation y" +4y= tan 2x? Oy C1 cos 2x + C2 sin 2a -…

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Q: What is the integrating factor for the linear differential equation 2(y - 4x^2) dx + x dy = 0?.

A: Given:  2(y - 4x^2) dx + x dy = 0

Q: Find the general solution of the given Ordinary Differential Eqauations system: - 9 x () where X(t)…

A: .Our general solution is of the form X(t) = C1V1eλ1t + C2V2eλ2t  where V1 and V2 are eigenvectors…

Q: From the differential equation by elimanating he arbitary function f from xyz=f(x2+y2+z2)

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Q: Solve using separable differential equations dv 1- 4v2 ,when x = 3, y = 2 3v dx

A: The given differential equation is: xdvdx=1-4v23v          x=3  when y=2

Q: Show that y = cos xsin x is the solution of the differential equation y'+y tan x cos x

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Q: If N(x) = sin x – sin θ and D(x) = x – θ, find the limit of N(x)/D(x) as x approaches θ. (SOLVE BY…

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Q: I am still having troubles trying to effectively solve e^6x(cos7x)dx by integration by parts.

A: Let u = cos7x , dv=e^6xIntegrating by parts:

Q: find solution of order differential equation  dy/dx=cos2(x-y+1)

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Q: What is the general solution to the differential equation (2x- 2y- 3)dx (2x*- 4y-2)dy?

A: We have to solve the given 1st order differential equation.

Q: What is the solution to the differential equation 2 = 2xy satisfying the boundry condition y = e…

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Q: Find the particular solution to the differential equation. 4y2 dx = 9x2 dy   when x=4 and y=-3

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Q: Find a particular solution of the differential equation COS X dy dx 1 +ytanx = cos x e cos x for…

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Q: The differential equation formed by eliminating arbitrary constants a and 6: y = ax + bx+9 is

A: Given that

Q: 4. Solve (D-1)y (x'+2x +x+6)e using differential operators method.

A: Consider a homogenous differential equation: ay''+by'+cy=0 Write an auxiliary equation corresponding…

Q: Since dv = cos( cos9 x) dx, integrate the differential equation to obtain the function v. V = ^p -…

A: We have to find solution

Q: What is of the differential equation (3 +y+ 2y sin² æ) dx + (x + 2xy – ysin2x) dy = 0 ? O 2x sin 2x…

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Q: The tangent line to the curve y = x3 at the point (1,1) will intersect the x-axis at x = a.2/3 b.…

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Q: dy/(3x2) = (1 + y²)1.5 dx.

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Q: a particular solution that satisfies the differential equation F'(x)=3x^2 +2x -1 and the inital

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Q: Solve using the non-exact linear differential equation  [ytan(x)(cos(2x))-1]dx+csc(2x)dy=0 when…

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Q: Find the particular solution to the differential equation. 2y2 dx = 3x2 dy when x = 2, y = -1

A: this is variable separable differential equation will separate the variables on both sides and then…

Q: Use Exact Differential method ( Rule II) to solve : (x² – y²)dy = xy dx.

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Q: ① Solveing dy - - x dx = 。 ㅎ

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Q: Obtain the particular solution of (3siny-5x)dx+2x^2cotydy=0 using Bernoulli's Equation. (Complete…

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Q: 3x + y + z = 0; z(0) = −1

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Q: Find the differential of w = ln /x² + 3y² + 2z²

A: Here we use chain rule of differentiation to find the required differential. According to chain rule…

Q: 4. Solve (D² -1)y =(x'+2x² + x +6)e²* using differential operators method.

A: Let us consider differential equation: ay''+by'+cy=f(x) Write auxiliary equation to get…

Q: 21. Find particular solution of the differential oquation-2(x+ 1) Y.given x 0,

A: Givne that  The differential equation  To find the particular solution of the differential equation

Q: This problem deals with the differential equation dx/dt kx(x – M) – h that models the harvesting of…

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Q: The integrating factor of the differential equation 2xy dx + (4y + 3x^2) dy = 0 is . Does not exist

A: Ist question was incomplete I have to do the second question Please repost ist question correctly

Q: 2ydx+x(x² In y-1)dy=0

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Q: If y = (1/2x)(sin(lnx)-cos(lnx)), find dy/dx.

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Q: 9. . sinh 3x dp- 1+cos 3x 2x+9 10. S x² +6x-4

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Q: 4. Solve (D -1)y =(x +2x* +x+6)e" using differential operators method.

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Q: what is the solution to the differential equation 2\sqrt(xy)(dy)/(dx)= 1 at y(4)=1

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Q: The general solution for the flowing differential equation is (3x²+ycosx) dx +(sinx-4y )dy =0

A: The equation is given by: 3x2+ycosxdx+sinx-4y3dy=0 The equation is of the form Px,ydx+Qx,ydy=0…

Q: 2) (x²y³ + y)dx + (x³y² – x)dy = o

A: (x2y3+y)dx+(x3y2-x)dy=0 this is an exact equation  M(x, y)= x2y3+y N(x, y) = x3y2-x We will evaluate…

Q: y' + 2y = cos(2x)

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Q: 2.) Solve Implicitly 3 (2xy +) dx + (3x³y² + siny) dy =o

A: Here we have to find solution of given differential equation.

Q: How do I solve this non-exact DE (4x+3y-7) dx+ (4x + 3y+1) dy=0?

A: Consider the substitution, z = 4x + 3y

Q: solve for Differential Equation y(x2+2)dx - (x2-x)dy = 0 when x= sqrt 3 and  y= 1/3

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Q: What is the general solution to the differential equation ydx - ( x - sqrt(x² + y² )dy = 0?

A: Let's find.

Q: 4. Solve (D-1)y=(x'+2x+x+6)e using differential operators method.

A: Given: D2-1y=x3+2x2+x+6e2x

Q: Find the particular solution of the differential equation (2xy - sin x)dx + (x² - cos y)dy = 0, when…

A: Exact differential equations

Q: Obtain the differential equation of the family of parabolas with axis parallel to the x axis and…

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Q: The particular solution of the differential equation y y- 2y = sin3x is: y(x) =Ce3x+Ce3O…

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