dy X- + xlnx- y = 0 dx where y(1) = 3.

Q: Solve the following differential equation. xy(dx — dy) = x2 dy + y2 dx

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Q: Find the general solution to the following differential equation. y" – 5y = e2z

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Q: Find the general solution for the given differential equation. dy dx

A: To find the general solution of the given differential equation.

Q: Solve the following differential equation:   y′′+9y=0; y=3,y′=3 at x=π/3

A: Given y''+9y=0; y=0, y'=3 at x=π3 To find the Solution:

Q: Give the General Solution of the following Differential Equation 1. (ex-y)(e²y + 1)¹/2 dx = dy

A: We have to find the general solution of differential equation

Q: 2ху y' y2 -x? (х — у)(4х + у)dx + x(5х — у)dy %3D0

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Q: Find the solution of following differential equation x²y dy – y²x dx = 0

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Q: Solve the following differential equation: (3x°y+2xy)dx+(x'+x +2y)dy 0

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Q: Give the General Solution of the following Differential Equation 1. (ex-y)(1-²y)¹/2 dx = dy

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Q: dy ycotx + y³cscx dx 5.

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Q: Obtain the particular solution for the following differential equation if y(7) = 1 (3x² + ycosx)dx +…

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Q: dy 4 + y² + (9 + x²) = 0 dx

A: We have to use variable separation method.

Q: Q1.Solve one of the following differential equation dy + ycotxdx - 5ecosx dx = 0 a-

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: I. Solve the following linear differential equation. 1. dy/dx + y/x = x 2. dy/dx + (x+1)y =x

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Q: Solve the following differential equation d²y dy + x+x²y = 0 dx dx²

A: Differential equation of the form; x2d2ydx2+xdydx+(x2-v2)y=0  is called Bessel ordinary differential…

Q: Solve the following differential equation: (x2 − y2) dx + 2 xy dy = 0.

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Q: 3ely)dx +3e dy = 0 y

A: In this question, the concept of a Differential equation is applied. Differential Equation A…

Q: Solve the following differential equation.  (y3 sec2 x)dx − (1 — 2y2 tanx)dy = 0

A: Consider Mdx+Ndy=0This equation is exact if ∂M∂y=∂N∂xIf ∂N∂x-∂M∂yM is a function of y alone, say…

Q: Solve the Bernoulli differential equation given below. dy – y = xy² dx

A: The Bernoulli's equation is in the form of . Convert this equation, into the form of and solve .

Q: Find the particular solution of the following differential equation:  2xy dx = ( x2 - 2y3 ) dy ; y…

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Q: dy - (x- y + 1)'dx = 0

A: The objective of the question is slove the differential equations.

Q: Solve the following differential equation: (3x + 2y + 3)dx + (2x + 4y +1)dy = 0

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Q: 4. Solve the following First Order Differential Equation: dy y = x² sin x - dx

A: We have to solve the differential equation.

Q: (1- dy + y = dx + x -1.

A: The detailed solution is as follows below:

Q: dy 0 = 2(y– 4x²)+x dx

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Q: (x³ + y² √x² + y²)dx - xy√x² + y² dy=0

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

Q: / Solve the following differential equation: e2y dx + 2(xe2y – y)dy = 0 -

A: To solve the given differential equation.

Q: 'dy = (cscx- ycotx)dx

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Q: Give the General Solution of the following Differential Equation 1. (ex+y+ex) dx = dy

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Q: Solve the following differential equation: (3x + 2y + 3)dx + (2x + 4y + 1)dy = 0

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Q: solve the following differential equation.. (l-x? )dy -ayydx = 2(x²- x² )dx

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Q: What is the particular solution to the differential equation dy/dx=(x-3)y with the initial condition…

A: A differential equation is an equation in x,y and derivatives of y. A linear first order…

Q: Solve the following separable differential equation: dy xy y(0) = 4. dx 1+ x2 '

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Q: Solve the following differential equation 1. xydx - (x + 2)dy = 0 2. y' = ysecx

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Q: dy (x + 1) + (x + 2)y = 2xe-* dx

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Q: Consider the following differential equation. ydx - 7(x + y) dy = 0

A: Given differential equation is ydx-7x+y9dy=0. To find: 1. Coefficient function Py. 2. Integrating…

Q: Solve the following differential equation (3xy3 + 4y)dx + (3x²y² + 2x)dy = 0; when x = 1, y = 1

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Q: Find the general solution of the following differential equation:  ( 2xy + sin2x - tany ) dx + ( x2…

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Q: 4. Solve the following Second Order Differential Equation dy dy + 6- d.x 9. + 5y = 0 dx?

A: Given : 9d2ydx2+6dydx+5y =0

Q: dy dx 6e²x-y

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Q: dy = 1 + y/x dx

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Q: Solve the non-homogenous differential equation below dy 2y + x – 3 dx y+ 2х —3

A: Given that a non homogeneous differential equations and we solve by using general property of…

Q: 4. Solve the following First Order Differential Equation: dy + 4y = x³ – - x dx

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Q: Solve the following differential equation: d²y dy +x÷+y= 4sin (In(x)) dx dx²

A: Use cauchy legendre equation for direct  solution

Q: Find the particular solution of the following differential equation: y'= ky(1-y), y(0)=-1

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

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Q: Consider the given differential equation yx dy +y*dx = -4y³xdy and do the following:

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Q: Solve the following differential equation: x y' + y = 4x where y is dependent and x is independent

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Q: Give the General Solution of the following Differential Equation 1. (ex-y)(1-e²y)1/2 dx = dy

A: The given differential equation is: ex-y1-e2y12dx=dy To find the general solution to the given…

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.