Q1:- Solve the following DEs:- dy + 2x³y = y³x3 dx

Q: Q4)/ Solve the Following: d²y dy 4x - 6y = x³ + 1 dx² dx

A: See the attachment

Q: Solve DE  P2-70+12,where p=dy/dx

A:

Q: Find the roots of the equation: d³ y 4. dx3 dy 13 — +бу dx -

A: 4d3ydx3-13dydx+6y=0we have to find the roots of the equation

Q: 2. (- x) dx + 2r y dy = 0

A: Disclaimer: Since you have posted multiple question, we will will answering teh question number 2…

Q: Solve the equation (6x + y?) dx +y (2x – 3y) dy = 0. -

A: Given,  (6x+y^2)dx + y(2x-3y)dy=0

Q: By using an appropriate substitution, solve the equation x'dy+(xy+2y² )dx=0

A:

Q: Q2) Solve the D.E x²dy + (3xy – 1)dx = 0 %3D -

A: Given differential equation is x2dy + (3xy-1)dx = 0

Q: Use the method of variation of parameters to solve. y" + 4y = 8 tant - "/2<t <"/2

A:

Q: solve using bernoulli's equation 2xdy + y(y2lnx-1)dx = 0

A:

Q: dy ху Solve dx (1+y2)

A:

Q: Q2: solve the equation dx 2х Vy y * dy 3.

A:

Q: Q2: solve the equation 3 dx 2х * dy y

A:

Q: 3 y = (₁ ² +1) ² Gi Find 13y dx²

A:

Q: Ql: solve the equation (y +x )dy +(x - y )dx = 0 %3D

A:

Q: Q6) Solve the following DE: dy -5y 0 dx

A: Given : dydx-5y= 0 Now, 1ydydx = 5

Q: Q2) Solve the D.E dy – (2x/1- y²)dx = %3D

A:

Q: Q1:- Solve dy = 2 dx 2 + y 1+x + y/ 2.

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Q2) Solve the D.E dy - (2x/1-y2)dx 0 %3D

A:

Q: Find the solution. 4. (x – y)dx + (3x + y)dy = 0

A:

Q: SOLVE THE FIRST ORDER DE. (x³ + y*)dx + 8y³xdy = 0 when x = 4, y = 2

A:

Q: Solve the equation dy y + dx ху 3

A:

Q: Solve the equation (6x+y2)dx+y(2x−3y)dy=0.

A: Solve the differential equation 6x+y2dx+y2x-3ydy=0

Q: dy Find the general solution of 2x² = a? + y? dx %3D

A:

Q: Find the general solution of the equation, d²y dy 4 + Зу %3D0 dx dx?

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: Solve the following DE: (2æy + 3z?) da + (2x²y+4y) dy = 0

A:

Q: Q4) B: Solve for x: (*+V+y sin2x)| - <4ta laxdy

A: Solve for x: ∂2∂x∂yy3+x−4+ysin2x&lt;4cos2π

Q: Q8// Solve 1dy y dx 1 3 %D 3+x3 V4-x

A:

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

A: Consider the given differential equation as below: dydx-y(x+1)=exy3 Here the objective is to find…

Q: dy et-y dx 2.

A: The given problem is to solve the given differential equation using separation of variables method.

Q: Solve DE P2 -7p+12,where p=dy/dx

A:

Q: Solve (3x*y? – x²)dy + (4x³y3 - 2xy)dx 0 %3D | | .3

A: Given differential equation is exact differential equation. We solve it as follows:

Q: Solve the Solution (6x+y^2)dx+y(2x-3y)dy=0.

A: Given differential equation is in the form Mdx+Ndy=0 Where, M=6x+y2 and N=2xy-3y2 If ∂M∂y=∂N∂x then…

Q: 4dx + (x — у + 2)?dy %3D 0

A:

Q: Q1:-Solve the following equations (choose three only):- 3- x²y + 3xy' + y = 0 4- 2-4x+ 5y = sin3x dx…

A: Given

Q: Solve the differeial equation: dy/dx=3x^2y^2

A: The given differential equation is dydx=3x2y2.

Q: Q5) Solve the following using Trapezoidal rule with n=6 2 f(x) = [²xtnx. dx 0

A:

Q: Qe! Solve! y? -y?+2g = Sin 3 X using D-opevator Method

A: Given differential equation is y3−y2+2y=sin3x It can be written as D3−D2+2Dy=sin3x Write the…

Q: Use the method of variation of parameters to solve. y" + 4y = 8 tan t - "/2<t<"/2

A:

Q: So S (2x + 3z – y). dz. dy. dx B- Solve

A: The given expression is ∫01∫3x∫0y2x+3z-ydzdydx.

Q: Q1. Find a general solution of the following equation: 2x(dx + dy) + y(dy – 5dx) = 0

A: Here we have,  2x(dx+dy)+y(dy-5dx)=0

Q: Find the solution. dy x-+ 5y =2r2y4 dx

A:

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: Solve (D² – 3D – 4) y = 16x – 50 cos (2x)

A:

Q: SOLVE THE DIFF EQ (ху-бх?)dy - (2y2-9ху)dx

A:

Q: if x3 + y3 =65, find the value of d2y/dx2 at the point (4,1)

A: Given that,    x3+y3=65

Q: Solve the equation (1-y)e + dy

A:

Q: Q1: solve the equation (y +x )dy + (x - y )dx = 0

A:

Q: Given x=2t2+1 and y=t4-3, find the formula for d2y/dx2

A:

Q: Solve by substitution of u = Ax + By +C  dy/dx = (x + y +3)2

A:

Q: Q2: Solve: dy_ (1- y)x².Inx yf-1 dx 03-

A: NOTE: Hi! Thank you for your question. As per the honor code we'll answer the first question since…

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.