3) Solve the initial value problem : dy 4x5 4096 3x2 у(16) - 1 %3D %3D dx 5/2

Q: Solve the follow ing initial value problem: 3x(t2- 1)dt+ (t³ + 8x- 3t)dx= 0, t(0)= 1

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Q: ) Solve the initial-value problem dy :-2y 2x* ;y(2) = 8 %3D x- dx

A: We have to solve the given differential equation using the initial condition. Rearranging the…

Q: dy = 2x- 7, y(2) = 0. dx

A:

Q: 1 Evalute: dx (x'+2x+2)'

A: Please refer the attached image for complete solution.

Q: Solve the following initial value problem (3x-y-5)dx + (x+y+2)dy =0; y(2)= -2

A: Answer

Q: Find the general solution of dy/dx=x-4/x^2-5x+6

A: Explanation of the answer is as follows

Q: Solve the initial value problem ex (x4y² + 4x³y² + 1) dx + (2x¹ ye* + 2y) dy = 0, y(0) = √5

A: Note:- Solution for exact differential equation is not unique.   Given differential equation is ex…

Q: - 2- Solve: (2x +1) a.) dx3 +2y 3e* dx %3D dx2 + 6(2x+ 1)+4y = (2x+1) [t= In(2x+ 1)] %!

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Solve the initial value problem. 2x(y + 1)dx – ydy = 0, where x = 0 and y = -2. %3D %3D

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Q: solve using non-exact (x+4y3)dy - ydx = 0

A: Solving the non exact differential equation

Q: (Think Bernoulli) Solve implicitly dy dx - y = e²xy³

A:

Q: Solve the initial value problem. dy =7- dx 1 y(1) = 11

A: Let's find.

Q: Find the general solution of hp dy + 12- dx² dx 8y = 21e2x | dr3

A: To find the general solution of the given differential equation: d3ydx3−6d2ydx2+12dydx−8y=21e2x

Q: Solve the initial value problem dy (x - 1) 9 = (x + 1)(y – 2), given y(2) = 3. dx %3D %3|

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: dy =x(y2 +1), y(0)%3D0 %3D dx

A: We have to find solutions

Q: The solution to (2x – 4y – 3)dy = (x- 2y)dx is:

A:

Q: 5. ft² √1-1³ dt 6. J (2x+3) dx (x²+3x-6)⁹

A: Given 5. ∫t21-t33dt6. ∫2x+3dxx2+3x-69

Q: Solve the initial value problem 2x(y+1)dx - ydy = 0, where x = 0 and y = -2

A:

Q: Solve the initial value problems dy/dx = 2x - 7, y(2) = 0

A: Given differential equation is dydx=2x-7and y2=0. Given differential equation can be written as:…

Q: 6. Solve the initial value problem (integrate but also figure out what C equals) dy/dx = 8x³ + 7x?…

A: Integrating dy/dx we get Y=( 8x^4)/4 + (7x^3)/3+ C Y= 2x^4 +( 7x^3) /3 + C When x= 0 we get y = 5 So…

Q: Solve the initia value problem: dy 1 and y(1) = 1. dr

A: To solve the initial value problem dydx=x-1x    and    y1=1

Q: 5. y = Je' dt %3D

A: Solution: 5. y=∫0x2et3dt

Q: Solve the initial value problem: (3x + 8)(y² + 4)dx – 4y(x² + 5x + 6)dy = 0, y(1) = 2

A: A differential equation is said to be in separable form if it can be written in the form . Such a…

Q: 6. Compute S -dx x²-4

A:

Q: Solve the initial value problem.

A: Given differential equation is: dydx=3x+23 ; y0=1 We have solve the above equation. Then we get,…

Q: Solve the initial value problem: y(x) = 2x - 4y√x² + 1. dy dx = 0, y(0) = -4

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Q: Solve the initial-value problem d²y 4- - 4 - 3y = 0, y(0) = 1, y'(0) = 5. dx2 dy dx

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Q: Solve the initial value problems dy/dx = 1/√2x, y(4) = 0

A: Given: dydx=12x, y4=0 for solving given initial value problem, we use variable separable method so,…

Q: Solve the problem by using Exact DE 3 1. (2 x³ x y² - 2y + 3) dx − (x² y + 2 x) dy = 0

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Q: Solve the equation (4y + 2x – 5 dx + (6 y + 4x – 1 dy = 0 subject to the initial condition y(-1)= 2.…

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Q: Solve the initial value problem: dy 8 y(8) = –9 » dx x – 7 |

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Q: Zx+1 8) I = - dx 7-7x+12

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Q: Solve the initial value problem: + 4 y 20 dx y(0) = 2.

A: Follow the steps below to solve an initial value problem by the variable separation method. First,…

Q: Solve the initial value problems dy/dx = 9x2 - 4x + 5, y(-1) = 0

A: Given that, dydx=9x2-4x+5             ...(1)

Q: Find the general solution of the equation: G + 6x) dx + (In x – 2) dy = 0 (x > 0) -

A:

Q: The solution of (1 – y² )dx + (1 + x² )dy = 0 is:

A:

Q: Graph the function that shows the solution of the initial value problem dy/dx = 4x, y=8 when x=1.…

A:

Q: dy/dx = 2x3,    y(0) = 3 y =

A: Given Data:   Solve the differential equation,

Q: solve the homogenous equation . (2x-3y)dx+(2y-3x)dy=0

A:

Q: solve the initial value problem  x dy - (y + sqrt(y)) dx = 0, y(1) = 1

A: We know :

Q: Solve the following initial value problem. У () - Зу%3D 12, У(0) 3D0

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Q: Solve the initial value problem: dy/dx= (5x^4)(y^4) ; y(0)= 1/2

A:

Q: Solve this initial value problem: xy-y=xlnx )=2

A: problem is related to first order differential equation

Q: Solve dy/dx−6y=3 subject to y(2)=2

A:

Q: Solve the initial value problems dy/dx = 3x-2/3, y(-1) = -5

A: Given a differential equation, dydx=3x-23                     ...(1) Initial value y(-1) = -5

Q: Solve the initial value problem. Y 6 dy dx 2xy = 8x, y(0) = 5

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Q: 5) SOLVE dy _ yz %3D x2

A: A differential equation is an equation in x,y and derivatives of y. An ordinary differential…

Q: Solve the equation (4y+2x– 5)dx + (6y +4x– 1)dy = 0 subject to the initial condition y(-1)= 2.

A: Consider a first order linear homogenous differential equation of the form, Pdx+Qdy=0→1 where P=fx,y…

Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.