y? when y dy and x = 1. Find the particular solution to dz

Q: 7x? +6 Find dy for y = X 7x -6 dy =

A: Given that, y=7x2+6x Differentiating with respect to x we get,

Q: Given x = 8t - 21 and y = 64 sin t dy (i) dx dy (éi) dx?

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

Q: dy c) Hence find the solution when x = 0, y = 0 and 1. dx

A:

Q: 2. . For what values of m does the function y = Aet satisfy the following equation? d'y dy + бу = 0…

A: find d2ydt2,dydt and substitute in the given differential equation and solve for m

Q: dy = x and find the particular solution when y(0) = dx Solve y? %3D

A:

Q: dy Solve dx x +y and find the particular solution when y(1) = 1 dy = x – y and find the particular…

A:

Q: (2xy + e' )dx + (x² + xe' )dy = 0 ; y = In2 when x = 1 %3D %3D

A:

Q: Find the solution. dy y -xy? dx

A: This is a problem of differential equation.

Q: Q2. Find the general solution of the equation. dy 2(1+ y?)= e*y dx Find the particular solution that…

A: Given differential equation 2(1+y2)dydx=exyAnd initial condition y(0) = 1

Q: dy = y? – 4 dx

A:

Q: (a)Use the shooting method to solve: d'y dy = e*; y(0) =1; y(1) =-1. dx dx? Use h=0.1

A: Given that, d2ydx2-ydydx=ex; y(0)=1, y(1)=-1h=0.1 Here we use the Euler's formula: yn+1=yn+hf'xn,yn…

Q: 2. Let y = x? 4x2 . LA. Find "dy". B. Find the value of "dy" when x = 4 and dæ = 0.01.

A:

Q: (* -) dz if y = Find the particular solution for dy = when x = 0. | x +1 Answer and Work Explanation…

A: We have to find the particular solution of the given initial value problem dy=x2-1x+1dx with the…

Q: dy 2х+y 9. Find the general solution: %D dx x-2y а. sec x + tan y b. ху" — у' — 0 с. х? — ху + у? %3…

A: Substituting y=vx

Q: Given r = 3 ln(t) and y= 9 t then find dy da dy da2

A:

Q: [x cos? (y/x) – y] dx + x dy = 0 solve for the particular solution using x 1, y = a/4

A:

Q: B) Find the general solution to the following DE. dy y? + x2 = 0 dx

A: Given differential equation is y2+x2 dydx=0

Q: dx x- y- dy dx (Separation of variable) dy

A:

Q: 5. ( + v?Va? +y?) dx – xy /a? + y? dy = 0

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

Q: Find the particular solution to DE:   ( y + square root of x^2 + ?^2 ) dx - xdy = 0 ; y ( √3 ) = 1

A:

Q: dy We wish to find the solution to dæ * = x°y that passes through the point (х, у) — (1,3).

A: We have used separation of variable .

Q: 1+y Determine the solution for the given DE: + zy?(1+x*)

A:

Q: For dx + 4y = tan 2x solving by variation of parameters. The value of W(y1y2) is Select the correct…

A: The solution for the above question is as shown below.

Q: Q9// find the general solution (sec'x + (cotx)y)dx + (Insinx)dy = 0

A: Using the basic properties of trigonometry and expanding the expression we can find the solution to…

Q: Find the solution. 6. (y3 – y?sinx – x)dx + (3xy² + 2ycosx)dy

A:

Q: Given: 6y? dx - x (2x + y) dy = 0. Find the general solution. %3D

A:

Q: 2 6x? Find dy for y = x? 6x + 7 dy =

A:

Q: Q9// find the general solution (sec°x + (cotx)y)dx + (Insinx)dy = 0

A:

Q: 2. Solve: x dy + y dx = 5x^2 y^3 dy

A:

Q: A شعبة Given x2 + y? + z? = sin (yz) find dz/dx %3D

A:

Q: 1 s S xe^ dx dy xy 0 0 –1 2.

A:

Q: Find F(x), then solve for general solution dy y? sin x + yf(x) = 0 dx

A: I am solving this in step 2

Q: Given the equation dx + xydy = y?dx + ydy. Solve for the solution when x = 3 and y 1. ( ) dx + ( )…

A:

Q: dx 7. Find the general solution to y+ 2x = 5y³. dy

A:

Q: What is the solution? dy/dx - y/x =xy^2

A:

Q: A. Determine the solution set of the following equations using variable separable. 1. xy dx + e*dy =…

A:

Q: Determine the particular solution. dy –! = ; x = 1, y = 0 = ex dx

A:

Q: Q2) Solve the D.E xy(x? + 1)dy - (y? + 1)dx = 0 %3D

A:

Q: 2 dy = Y – xy; y (–1) = 1 dx

A:

Q: Solve the general solution dy = 1+x + y? + x²y? %3D dx

A: Given,           dydx=x2 + 1 + y2 + x2y2

Q: Find the solution of the given DE (y? – 2xy + 6x)dx – (x² – 2xy + 2)dy = 0

A: First we find out whether the given equation is exact or not then we solve.

Q: Find the particular solution of (y + Vx? + y²)dx – xdy; when x = v3, y = 1

A: The differential equation is given as y+x2+y2dx-x dy = 0x dy = y+x2+y2dxdydx= yx+x2+y2x2dydx=…

Q: Find ø(0) for a solution ø(x) to the IVP (sec x)dy= 2/y+1dx; Ø(t) =8.

A: GIVEN : (sec x) dy = 2 y + 1 dx                 ∅ (π) = 8

Q: Given (x + 6y? ) dx - 4xdy = 0, when x = 1, y = 1. Find the particular solution.

A:

Q: Find the particular solution of (xcos? - y) dx + xdy = 0 ; where y and x = 1 - у %3D = - 4

A:

Q: Check for exactness and solve (3.ry + y)dx +(x +.xy)dy = 0.

A: Given (3xy+y2)dx+(x2+xy)dy = 0 Compare it with M dx+ N dy = 0 Here M = 3xy+y2N = x2+xy This equation…

Q: d’y dx? Find the general solution for +10 -+25y = 0. dx

A: For the second order homogeneous differential equations of the form ad2ydx2+bdydx+cy=0 , the general…

Q: dy/dx = x^4(7+y) given that when x=0, y=4. Solve your answer for y.

A:

Q: Given a = 2 cost + 20 and y = 5 sin?t de (6) dt dy (é) dy (é) de ||

A: We have to find the derivative of given functions

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.