Give the general solution of: dw/dx + (4w)/x = x3

Q: dy 2y - 2xVy dx

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Q: a. Solve = y(1 -1). dy dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: (y + 1)dx + (4x – y)dy = 0

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Q: dy Find the solution of 2ху + dx X. 2у-1

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

A: Explanation of the answer is as follows

Q: Z4 e: 2₁₁ (4x²yz - ) dz dy dx 1 4

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Q: dx ex -1

A: Let ex=t ⇒exdx=dt    dx=dtex          =dtt

Q: Find the solution. 2y dx = (x2-1)(dx - dy) %3D

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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: (2x² – ye")dx – e dy = 0. - -

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Q: Solve bernoulli equation (dy)/(dx) - y = x * y ^ 2

A: Given problem:- Solve bernoulli equation (dy)/(dx) - y = xy2

Q: Obtain the general solution to the equation. 5. dx + (x – v²)dv = 0

A: Given that: dx+(x-y2)dy=0

Q: Obtain the general solution to the equation. dy 1. y + 2x + 1 dx

A: Given that: dydx=yx+2x+1

Q: dy -y² = yx+x² dx

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Q: The solution of |x 2* dx is

A: To find: ∫ x2xdx

Q: Q2/ solve; A: dy - = e* * y3 dx x+1

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Q: Solve the particular solution of (xª + y³)dx – 2x° dy= 0 when x = 2, y = 3. -

A: We can rewrite the given equation as,  (xy+y3)dx = 2x3dy xydx+y3dx = 2x3dy

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: Find the particular solution of (dy/dx) = (5x3 + x2 - 2); y = 1 when x = 0

A: Given: dydx=5x3+x2-2; y=1 when x=0

Q: Find the general solution: k^2 dx+(x-y+k)^2 dy3D0

A: Given that: k2dx+(x-y+k)2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: dx - My- dy -5+e

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Q: x dy +34%3X dx 2.

A: I have solved the problem by finding integrating factor

Q: Find the general solution  ytan2x dx + ln4 ydy = 0

A: We will use variable separable form to find the general solution of the differential equation.

Q: Solve D.E using Exact from first order (6x² - y+3)dx+(3y² – x- 2)dy

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Q: Find the general solution of 6y2 dx - x (2x3 + y) dy = 0

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Q: dx -x = ev/2 x3 dy 2)

A: By using linear differetial equation method

Q: solve 2 x d zy dx=

A: Given: The second order differential equation is x2d2ydx2+4xdydx+2+xy=0

Q: Find solution of y – x X- dx dx

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Q: Solve the DE: 2 dy 3 dx 3x² + y² xy

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

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Q: Find an implicit general solution of ( x² + dx + 1+ 4x²y², - y*) dy = 0 %3D 1+4x²y?

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Q: find the general solution of x(y+1) dx -x 2 dy=0

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Q: By differentiating x² – y² = 1 implicitly, show that d²y | dx² ||

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Q: 4(3x+ y – 2)dx – (3x + y)dy = 0

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Q: What is the general solution of dx? (1– 2e3 )2

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Q: What integrating factor should be used to find the solution of the equation ydx + (xy + x- 3y) dy =…

A: Given that: ydx+(xy+x-3y)dy=0

Q: dy 1. Determine the general solution of x = 2 – 4x3 dx

A: Since you have submitted two questions, we'll answer the first question. For the second question…

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

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Q: Determine whether dx = y - x* has a unique solution, for which y(0) = 7

A: To determine: The differential equation dydx=y4-x4 has a unique solution for which y0=7. Concept…

Q: 2Y – x²y² -2. dy dx

A: The given differential equation is: dydx=2yx-x2y2

Q: Find the complete solution of √1 + x² dx + x(1 + y) = 0

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Q: dx 2. = 3x. dt

A: The given differential equation is                                                    dxdt=3x…

Q: Obtain the general solution to the equation. dy - Y + 6x +5 dx

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Q: Find the general solution, using separation of variables: dy dx

A: The given differential equation is  dydx=e-y-x

Q: dy Find the general solution of (x² + 4). = xy. dx

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Q: 4x (e) Find -dx .2 Vx² +4

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

A: topic. - differential equations

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.