7) I = jx v-4 dx dx 8) I= J+ 12

Q: Obtain the solution using Integrating Factors Found by Formulas 1. 2(2y² + 5xy - 2y + 4)dx + x(2x +…

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

Q: Solve using Euler's Method dy dx sin(x+y) ex,y (0)-4, h-0.1 -

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Q: 2 1. Evaluate 8x" dx by the Gaussian quadrature method. 7

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Q: 1. S(7x³ + 4x²)dx e*dx 2. J itez* 1+e2x 3. S(V1 – cos x)dx

A: We will these indefinite integrals as

Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

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Q: Solve the initial value prol dy + 8, y(1) = 3 dx y%3D 4 Jx +8x 19 4 Oy=Vx + 8x - 6 Oy=-- - 8x- 6

A: Explanation and solutions is given below....

Q: Apply the application for integration dy/dx=2x+3 y(1)=2

A: Given: dydx=2x+3, y(1)=2

Q: Obtain the solution using Integrating Factors Found by Formulas y(y + 2x − 2)dx − 2(x + y)dy = 0

A: Find your answer below

Q: 2ydx + x(2 + x²y) dy = 0 %3D

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Q: 2 1 æ sec-(x) dx 2/V3

A: By see this solution below

Q: x + 4) (y + 1)) dx + (y (x +3x + 2)) đy = 0

A:

Q: Solve dy りー! り(-)ニ。 dx ス+3 © xy! =1+X

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Q: Find the General Solution using integrating factors found by inspection У(2х — у + 1)dx — x(3х — 4у…

A: We have to find the general solution of the following differential equation using the integrating…

Q: The degree and order of the differential (出) 1 8 dy equation 1+ is 3 dy dx dx

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Q: :Use variation of parameters to solve dx Зх — Зу + 4 dt dy 3D 2х — 2у — 1 dt

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Q: 2. у(у+ 2х — 2)dx — 2(х + y)dy 3D 0

A: A differential equation of the form M(x,y)dx+N(x,y)dy=0 is said to be exact iff, ∂M∂y=∂N∂x

Q: dy - x X, y(0) = -4 dx Need Help? Watch It

A: using variable separable and then integrate both side...

Q: (2х — Зу)dx + (2у — Зx)dy %3D 0

A:

Q: Q2 Integrate by parts: ex sin x dx

A: find ∫exsinxdx we know, ∫u.vdx=u∫vdx-∫dudx∫vdx now, apply this on equation I=∫exsinxdx…

Q: Find dy/dx given that 3(x +y) = 100xy Solution:

A:

Q: Obtain the solution using Integrating Factors Found by Formulas. 2(2y2 + 5xy- 2y + 4)dx + x(2x +…

A: We can solve this using integrating factor

Q: 1+vx dx use u= 1+ V 1- use Vx

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

Q: Solve the equation xcosy dy+(x+2)siny dx=0.

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Q: dy 1.- dx ах — by bx — су

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Q: xydx – (x² + 2y²)dy = 0 ||

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Q: 1. y(4x + y)dx – 2(x² – y)dy = 0

A: We will first convert the equation to exact and then solve

Q: 1 a) x²e-x dx

A: Use the formula of integration by part and finally put the limit  to got the answer

Q: Solve by separation of variables (y +1)dy dx+x(y^2 +2y)= x.

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Q: dy + y =0 dメ 0 2) dx?

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Q: ] Integrate by parts to show that Vx dx = 2e4 - e* dx. ex. е —

A: To evaluate the given integral choose  √x as the first function and ex as the second function and…

Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

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Q: Obtain the solution using Integrating Factors Found by Formulas. xydx - (x² + 2y²)dy = 0

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Q: (2x sinh2 + 3y cosh?) dx – 3x cosh dy = 0 |

A: Concept Used: For  y'=f(x, y)   ...(*)If f(hx, hy)=hn f(x, y)Then (*) is homogenous equation of…

Q: solve using the method of integrating factors. dy dx ==+x, y(1) = 3 х ||

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Q: Solve = 1 +y, y(0) = 0 by Picard's method. %3D dx

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Q: Integrate by parts: ex sin x dx 2.

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Q: Use RK Method of fourth-order to solve equation dy/dx = 1+y2 for x = 0.2 and x = 0.4 with h = 0.2.…

A: Given differential equation is                  dydx=1+y2 with initial condition   x=0, y=0 To solve…

Q: (2у — Зx)dx + xdy 3D 0

A:

Q: Find the general solution using Integrating Factors Found by Inspection y(x^2 y^2 – 1)dx+ x(x^2 y^2…

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Q: Find an integrating factor depending only on x that will make 2ye 5x* 3 sin y + 5xex + dx + (x cos y…

A: Given:            Let the differential equation is in form 3siny+5ye5x+2ye5xxdx+xcosy+e5xdy=0…

Q: Find the general solution of the equation dy + (tan t) y = cost dt

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Q: y

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Q: dy/dx=x2+3y2/2xy

A:

Q: 4/x e dx 4 2.

A: The given integral is Apply the method of substitution Let Therefore,the limits also get changed…

Q: (2x² + y)dx + (x² – x)dy = 0

A:

Q: Show that the antiderivatives are equivalent.…

A: ∫6/(4 + 9x2)  dx = arctan 3x2 + C or arccsc √(4 + 9x2 ) / 3x + C We need to show that the…