3. Solve the following differential equations 3y2 3.1. E-) dx + ( dy = 0 (2y 3.2. x2 - y2 = 2xy, y(-1) = 1 dx

Q: Q1: Solve the following differential equations: - 2y = 1- 4x3 d3y +2y dx dx2 1. dy dx d²y + 4 dx2 2.…

A: Here I am attaching image so that you understand each and every step.

Q: Solve the following differential equations of 2-x'y'y' + xy' = 1 x' +y 1- yy' = 2y – x; dy 3– 2xyy'…

A: To solve the given differential equation we use the substitution y=vx

Q: 2. Solve the following differential equation. (6xy + 2y² – 5) + (3x² + 4xy – 6) dy dx = 0 (2)

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Q: 5. Solve the following simultaneous differential equations: dx dy (i) + 5x + y = et, x + 3y = e²t,…

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Q: 4. The differential equation x(3.xy-4y' +6)dx+(x' - 6x²y² -1)dy = 0 is exact because ƏM ƏN Əx

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Q: 10. Solve the following differential equations. dy dy a) + 2.xy² = 0 b) -- y = 2x°y, y(1) =1 %3D dx…

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Q: 5. In the differential equation 2.xydx+(y² – x dy=0, what is 1 (OM ON M dy

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Q: Solution of the following differential equation dx - = sec²2y dy will be а. у %3Dtan2x + с b. 2x…

A: To solve the differential equation Use variable separable method

Q: Obtain the solution of the following differential equations. 3. (16x + 5y)dx + (3x + y)dy = 0 ; the…

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Q: Which of the following is the general solution to the differential equation 2(3x + y)² – 1 dx Arcsin…

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Q: 8.) Match the following differential equations with their phase portraits A.) x" + 10x' + 24x = 0…

A: Differential equations as it's phase portraits given below

Q: 25.Find the general solution of the differential equation dPy dy 3 +2y 2 sin 28-4 cos 20 %3D dez de

A: We use the method of variation of parameters to solve the given differential equation.

Q: Solve the following differential equation 5 6 Tsin TX y'+y= y(1)= 4, Select one: O a. y(x)= 1 (-6cos…

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Q: 1. Solve the following differential equation a) 3(3x2 + y²)dx – 2xydy = 0 %3D b) (x – y)dx + (3x +…

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Q: 1. Find the general solution of the given differential equation using MUC: y(4) – 4y(3) – 21y(2) +…

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Q: Solve the following differential equation: dy _ x+2y-4 2х-у-3 dx Select one: +2tan 1(1) x-2 a.…

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Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+y)dy=0, we let the substitution dw =- (Note: We use…

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Q: (y2 − 3y − x) dx + (2y − 3) dy = 0

A: Given: (y2 − 3y − x) dx + (2y − 3) dy = 0

Q: Solve the following differential equations: dy 1. + ysin x= xe 2. (x +1)+ 2xy = 4x dy 3. -2e dx dy…

A: As per our guidelines we can solve only one question at a time. Please repost unsolved questions…

Q: 7. Which of the following differential equations has x² – 4y² = 8 as a solution? dy dy 4x А. = 4xy…

A: The solution of the differential equation is given by x2 - 4y2 = 8            ........(1) To…

Q: Which of the following is the solution to the differential equation dx dy with the initia condition…

A: Given: To find the solution of the differential equation dydx=x2y with the initial condition y(3)=-2

Q: | 2. Consider the differential equation y(5) + 3xy4) + 2y = 0 How many linearly independent…

A: **By Bartleby policy I have to solve only first one as these are all unrelated problems**  First…

Q: 2. In the differential equation (x – 4y –9)dx+(4x+ y – 2)dy = 0 , the lines x- 4x + y- 2=0 intersect…

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Q: Solve the following differential equations. 1) xyy' =1+ y°, when x = 2, y= 3 2) 2y dx = 3x dy,…

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Q: Solve the following differential equations of (2.xy² – 2y)dx +(3x'y-4x)dy=0

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Q: Solve the following differential equations: 1 (3-) dr + dy = 0, y(-1) = 2. dx + (y 2x) Ty?

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Q: What is the general solution to the differential equation dx 8e4x 2 cos(2y) A 2 sin(2y) – 8e4r = C…

A: topic - differential equations

Q: -. (ex. + Iny + 2) dx + +In+siny) dy = 0 sin y)

A: To solve the given differential equation

Q: 3. 3(x² + y²)dx + x(x² + 3y2 + 6y) dy = 0; when x=2, y=0

A: follow next step

Q: 1. Solve the following differential equations. a) dx dy - XVX² +9, y(-4) = 0 b) xy'+ 2y = 3x dy = y…

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Q: Solve the following differential equations of Dyy = 2 y-x; 2- yy+ %3D

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Q: Solve the following differential equations of 1- ye** . dy = dx; dy 2-- %3(1+ y*)e* dx m dy…

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Q: Solve the following differential equations. 1. y' = (y – 8x) 2 3 2. (iay - y cos xy – 4x) dx + - x…

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Q: Which one of the following is the Exact differential equation ? 1 (x2 +3xy)dy + (y³ +a²)dx = 0 3 (x2…

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Q: 1. The differential equation x(3.xy – 4y' +6kdx+(x' – 6x²y² - 1\dy = 0 is exact because ƏM ƏN dy

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Q: 7. In the differential equation 4(3x+ y-2)dx-(3x+ y)dy=0, we let the substitution dw =- (Note: We…

A: Given differential equation is 4(3x + y - 2)dx - (3x + y)dy = 0

Q: (6) Solve the following differential equations of 1 -(- ´, ny)dr = 0 y j 21 ...... (y-xy) dx + xdy =…

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Q: 1. FIND THE GENERAL SOLUTION OF THE FOLLOWING DIFFERENTIAL EQUATIONS: dy 1. dx dy = xy + 3x-3x' dx

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Q: Find the particular solution of the following second order differential equation d² y dy dx² --4-…

A: The given differential equation is :d2ydx2-4dydx-21y=-105x-209given that y0=11 ; y'0=39.

Q: 5. The differential equation (3r*e" - 2xktx+(r°e' -sin y}dy = 0 is exact because ƏN ƏM ôx

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Q: 1. Use suitable substitution to solve the following differential equations: dy (b) d.x x – y - 1…

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Q: 7. Which of the following differential equations has x2 – 4y2 = 8 as a solution? dy = 4xy dy 4x А.…

A: (7).   The given function is: x2-4y2=8

Q: Q2: Find the solution of the following Differential Equations 1. dx2 d²y dy – 6y = 0 - - dx 2. y" +…

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Q: I. FIND THE GENERAL SOLUTION OF THE FOLLOWING DIFFERENTIAL EQUATIONS: dy 1. dx dy = xy + 3x - 3x dx

A: As per our guidelines we are allowed to do 1 question at a time.  Please post other questions next…

Q: Obtain the solution of the following differential equations. 5. (1 − xy)^−2 dx + [y^2 + x^2(1 −…

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Q: Find a set of solutions to the following differential equations 1. (x2+ 6y2) dx - 4xy dy = 0 ; when…

A: We have to find

Q: 1. Find the general solution of the given differential equation using MUC: y() – 4y(3) – 21y(2) +…

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Q: (6) Solve the following differential equations of y jus 2 (2x² + y)dx + (x²y-x)dy=0 3- - 4.

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Q: Solve the following first order differential equation: dy y² +49 +3 35 4 x² + 2x³-3x² dx == 0 given…

A: Differential equation: 35x4+2x3-3x2·dydx-y2+49x3=0