x In x dx Show that , V4 – x² dx = (2n + 3v3).

Q: 2x(y+1)dx-ydy=0

A: We have,2x(y+1)dx-ydy=0 seperate x and y terms2xdx = yy+1dyIntegrate both sides∫2xdx =∫ yy+1dy =…

Q: نقطتان What is the best way to solve this ?equation dy 4x2 + x %3D dx y + 4

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Q: Solve (x + y)² dy = a

A: Topic- Differential Equation

Q: e 4e2 -8e+5 dx

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Q: solve using the appropriate method.

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Q: e 3. dx V1-e-2* In 2

A: Since we are given with the multiple number of question and kindly repost the other question as next…

Q: Test for exactness and solve (6xy3 + 4x'y5)dx + (3x°y² + 5x*y*) dy = 0

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Q: Find | (V – 6e") dx, where A > 3. Answer choices have been slightly simplified

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Q: Get the solution: x^2 dy/dx - y^2 = 2xy

A: Get the solution: x^2 dy/dx - y^2 = 2xy

Q: 2. Solve dx2 d²y for x = u? + 1 and y = 3u3 – 3u in terms of the parameter u. -

A: Given query is to find indicated derivative.

Q: 4.2(х — у)dx + (3х — у — 1)dy 3 0

A: Let's find.

Q: V Solve using variaton of parameters or recuction of order (D. 3D+ 2)y = (1+e*)

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Q: solve (8y'sec? 2xt 4x³e*%y+Gcsc*3x)dx-(3xue 3y-12y²tan 2x) dy =0 as an exact equation .

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Q: Solve using Bernoulli's Equation. y(6y^2 - x - 1) dx +2x dy = 0

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Q: Using undeterminate coefficien ts, Solve : d'y _q dy =9 e + 82* dx 3 3X 3 dx

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Q: Solve: (2x + 3y – 5)dx + (3x – y – 2)dy = 0 . Show solution for determining the coordinates of the…

A: Find your answer below

Q: -3x +e xー2) dx

A: Simple integration problem....

Q: 3 y = (x² +1) ² Find day dx ²

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Q: + 2y = 1- x>0 dx

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Q: 2 y = (x ² + 1)² Find dy dx

A: To find derivative.

Q: Obtain the general solution unless otherwise instructed 1. arž -y = 10sin²x dx² SUMMARY OF ANSWERS…

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Q: KO 1. Solve the equation: (x + xy²) dx + exp(x²2)y dy = 0 %3D

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Q: 1 (x + y )dx = xy²dy

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Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

A: ∫x3e7x4dx

Q: Q1) Solve the following equation with Bernoulli equation Method, where x(0) =1 dx x* = 2x dy

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Q: Obtain the general solution using Bernoulli's equation. Simplify your final ansv answer. ix- 6* dy =…

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Q: Solve dy/dx + 2y = 4, y(0) = 3 by one of the usual methods. Solve same the problem by Picard’s…

A: Integrating factor method for solving a differtial equation  Consider the differtial equation…

Q: Evaluate by any applicable method. 3 1 dx x2 –6x+10 4 None of the choices. Please refer to my…

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Q: solve d 3 d'y = sin2x dx dx

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Q: J. (1+vx), √x dx

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Q: Q3) Solve (ysin x + y²) dx – („+1 xsoɔ + *) - - 2xy) dy = 0

A: 3 Given differential equation is ysinx+y2dx−1y2+1+cosx−2xydy=0.......1. We have to find the solution…

Q: b) Find the general solution of (3sin y– 5x)dx+2x² cot ydy = 0

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Q: Solve using Bernoulli's Equation 1. x^2(dy/dx)+y^2=xy

A: We have to solve the given equation

Q: x²- y2)dydx a.

A: Solution :-

Q: solve it by direct methode dy/dx = 1/4x2+4x+2

A: The given differential equation is,  dydx=14x2+4x+2 separate the variables, dy=14x2+4x+2dx

Q: dx 3hx? dx 2. 3. 4.

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Q: Solve xdy + (3x – 2y)dx = 0 in two ways. Write your solution on the space provided. 1. First Method

A: Given : Differential equation xdy + 3x - 2ydx = 0   To find : Solution of given differential…

Q: Find y = (2x²² -6) ⁹ dy اده

A: We can find the derivative as below.

Q: Solve the equation by using the method of variation of parameters: d2y dy dx = X 2. dx

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Q: dy 2ху+ бх + (х? — 4) dx Solve

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Q: Solve the IVP: dy 12x + 3y where y(3) = 1 dx -3x + 2y Solve your solution equation explicitly for y…

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Q: Solve: 30 dx 1 -Sis vdv %3D * V - 10-0.01v2 15

A: Given: ∫030dx=v10-0.01v2-∫15vvdv

Q: 5. (y-2)dx-(x-y-1)dy 0

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Q: 4x (e) Find -dx .2 Vx² +4

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Q: OUse the undetermined coefficient technique to solve d²y dy + 10 + 25y dx 14e-5x dx?

A: Consider the given function d2ydx2+10dydx+25y=14e-5x. Obtain the general solution of the given…

Q: Use the method of separation of variables to solve, dy 2x(3x +1) Зу? — 1 dx given that y(0) = 2.

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Q: (2xy - x + 2y - 1) dx + (4x²y² - x² + 4xy² - x) dy = 0

A: