check the given DES is exact > then solve it. (2x +3y) dx + ( 3x + zy) dy = 0

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A: Integration by parts is used to integrate an expression that is a product of 2 functions. The…

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Q: Solve this differenttial equation.   By help of integrating factor. (3xy+6y^2).dx+(2x^2+9xy).dy=0

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Q: follerving initial value problems by separating the Vasiables Solve the ye)=2 %3D %3D dx

A: Solution:Givendydx=y2-1x2-1; y(2)=2Formula:log ab =log a +log blog ab =b log aa2-b2=(a+b)(a-b)∫1x…

Q: 1-) dx dx n above is separable.

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Q: dy In

A: Given : differential equation is            (y3+xlnyx)dy+ylnxydx=0 now condition for equation to…

Q: SOLVE USING INTEGRATING FACTOR 7. (y +y cos x- ye") dx + (3x +3 sin x – 3e*) dy = 0; y (0) = - 1 %3D

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Q: Specify if it is exact or non-exact. Find the general solution. (y^2-2xy+6y) dx - (x^2 -2xy +2) dy…

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Q: 55. (x + 2)² sin x dx

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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Q: Use separation of variable to solve and largest interval I over which the solution is defined. IV.…

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

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Q: Integration by Parts 1. L, Cos-1 x dx

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

Q: Consider the following. dy - - X dx %3D

A: given equation is, dydx=-xy

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Q: dy - (1 +x)y xy %3D dx

A: You have asked multiple questions and not mentioned  which question answer you need . According to…

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Q: 'ind the general solution and a particular solution by variation of param- y" + y = csc² (x)

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Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+ sec? У(0) %3 — 5. | dx 2y

A: Let's solve diffrential equation.

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Q: sin y dy 3

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Q: Find the general solution to the differential equation y + 9x³y = x² It is not possible to express…

A: The given differential equation is y'+9x8y=x9. Let I=∫ex9dx+C. Comparing the given differential…

Q: x dy + y dx = 0 5. (3x²y² + 2y³ - 4y) dx + (2x³y + 6xy² - 4x) dy = 0

A: Given : 4. xdy+ydx=0 Comparing above to Mdx+Ndy=0, we get              M=y, My=1 and N=x, Nx=1…

Q: ating er linear dlferential equation below. hot actually solve the equation.) dy + 3x³y = In x dx

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Q: 2х-1 (2x- у%3D Arccos \3x+1,

A: To find- dy/dx

Q: 9. dy dx (xy + 1)2

A: We have to evaluate the iterated integral given below: ∫01∫01 xxy+12dydx. First we will evaluate the…

Q: O #ol Solve by using gamma fune ton 1- 2.2 O #02 とクン Q #03 Solve by Using beta function /3 dx

A: We find value of Gamma (-2.2)=?

Q: 2)8 Sx' 1- x dx

A: Indefinite integration

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Q: 3. (2х — Зу)dx + (2у — 3х)dy %3D 0

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Q: 4. Solve Y = 2x+2xy² dx using variable separable. y+2x?y

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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Q: x3 dx Using integration by parts to solve J- V4-x2 and letting -÷x², then v = f(x) is U = - %3D

A: We use integration by parts

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Q: 1) Solve the initial value problem. Show All Your Work. dy 2x+sec² X 2y , y(0) = -5. dx

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Q: Find p, q f /s° f(x)dx + fi3' f(x) dx = [,' f(x) dx. (Give your answers as whole or exact numbers.)…

A: The value of p is 5 and q is 17.

Q: Solving the question by nonhomogeneous equation Not: without using themethod of variation of…

A: The given differential equation is: d2ydx2+y=tan x

Q: 2. Approximate (x-3) dx using 4 rectangles. It is approximatiley (If necessary, round to two decimal…

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Q: To integrate x3x² 842 242 Ox we apply integration by parts and in the form u dv, dv is set as: dx'

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Q: sin x e dx Co x

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Q: Using integrating factor, solve dy/dx + 4/x . y = x

A: topic. - differential equations

Q: let's consider the equation (2xy - sec2 x) dx + (x2 + 2y) dy = 0

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Q: b- Using generating function, show that; dP(x) dP(-x) (-1)+1 dx %3D dx

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