dy x In x = y(1+ v3+ y?), у(1) 3 1 dx

Q: Solve the differential equation with the given initial condition.

A: Given,

Q: What is the solution to the differential equation if x = 1 at t = 0 and, dx/ dt = 0 at t = O?

A: dxdt=0  at t = 0 means that the slope of normal line passing through the point (1, 0) is 0.

Q: Find the solution r(t) of the differential equation with the given initial condition:

A:

Q: Solve the differential equation with initial condition dy 7y²x3 dx %3D У (2) %3D 3

A: The main objective of the question is to establish relation between x and y.

Q: solve the differential equation dy * y t (yt-x*) ニ ans : -in ( )

A:

Q: Solve the differential equation. dz + 4et + z = 0 dt

A: This equation can be solved by variable separable form.

Q: Solve the differential equation dy 1 dx Зу3 By the method of separating the variables

A: To solve the given differential equation.

Q: solve the differential equation dy/dx=2x^4sqrt of y, y.0

A: Solution of given question is written in below steps.

Q: Solve the differential equation using separation of variables: dy + y² +y= 0 dx

A: The given DE is: xdydx+y2+y=0...(1)

Q: Find the differential equation arising from o (x+ y + z, x² + y² + z²) = 0.

A:

Q: Consider the differential equation (3ze" + 2y)dz + (z²ev + z)dy = 0, z>0. Verify that the equation…

A:

Q: Find the general solution of the ordinary differential equation: r²y" – ry + y %3D

A: The differential equation is given as x2y''-xy'+y=2x                         (1) It is a Cauchy…

Q: Find the explicit particular solution of the differential equation for the initial value provided.…

A: 1.Explicit relation : y = f(x) , No 'y' on the Right-hand side of the equation.  2. Particular…

Q: Solve the differential equation that satisfies the given initial condition: dy xe",where y(2) = 0 dx…

A: We first separate the variables and then integrate  C= integrating constant

Q: Solve the differential equation dY AY dt for (; 1). vm - () 3 Y(0) = A =

A:

Q: dy + y² +y =0 dx

A:

Q: Find the solution of the differential equation that satisfies the given initial condition. dy xp…

A: see 2nd step

Q: Calculate the solution to the differential equation dy = 2e- with y(0) = 1. dz

A:

Q: Find the general solution of the second order differential equation dy dy 10 +24y 0 dar dr?

A:

Q: Find the solution of the differential equation that satisfies the given initial condition dy/dx =…

A: Given, dydx=5xey y=0 when x=0

Q: Convert the differential equation d²y - 3y + 2y = 4 sin x dx² dx with the initial conditions y(0) =…

A:

Q: Solve the separable differential equation dy e*ye®* dx with initial condition y(0) = 1.

A: Given : dydx = exyeex

Q: Solve the differential equation using 3rd and 4th order RK method. dy/dx = yx3 – 1.5y, y(0) = 1,…

A: Formula for solving differential equation using 3rd order RK method Let y'=f(x,y) then…

Q: Solve the differential equation. dy = 5x dx Vy for y + 0

A: The solution are next step..

Q: Solve the differential equation (y+xy+ 1) dx + (x²+xy²+2y) dy=0 by forming integrable combinations.

A:

Q: Solve the differential equation dy/dx = 5y2/sqrt(x) Initial condition: y(9) = 1/20 Therefore y(x)…

A: First, we separate the variables dydx=5y2xdyy2=5dxxy-2dy=5x-12dx

Q: Solve the differential equation with the given initial value condition: dy/dx = xy + 2x ; y(0) =

A:

Q: Solve the differential equation using method of inspection: ( x3y3 + 1 ) dx + x4y2 dy = 0

A: Given that ( x3y3 + 1 ) dx + x4y2 dy = 0

Q: Find the differential equation by eliminating arbitrary constants "A" and "B" from the family of…

A: Formation of differential equation: As a rule, one requires n+1 relations to eliminate n quantities.…

Q: 4 dx d*y d³y 8 d²y + 16 dx² 12y dx dx3 + 9 y = 0

A:

Q: Use Galerkin's method to formulate a linear finite element for solving the differential equation d'y…

A:

Q: Solve the differential equation dy dx 3y3 1 %3D By the method of separating the variables

A:

Q: Solve the differential equation with the initial condition. Show all of your work. dy y? with y(0) =…

A: Detailed solution is given below.

Q: Find the solution of the differential equation that satisfies the given initial condition. x In(x) =…

A:

Q: Solve the non-Linear differential equation dy Cos y de sin y(1 – 0 sin y),given that y(0) = 8.

A:

Q: dy 3D е* + 2, у(1) — 1 dx

A: We will solve the given problem by using differential equation by intial problem .

Q: Solve the differential equation - Xtan(y – x) = 1 dy dx

A:

Q: Solve the differential equation. dz + 5et + z = 0 dt

A: We are entitled to solve only one question at a time so, I am providing you an answer of the same.…

Q: Solve the differential equation dy/dx=5-x/y with the inital condition y(6)=-4.

A: We have to solve

Q: Solve the differential equation of dx (A) In y = c Inx

A: Given: dydx=ylnx

Q: x Iny dx + (x- In y)dy = 0

A: Use  term 'y ln (y)' instead  of 'x ln(y)' then we get the solution to DE.

Q: Solve the differential equation 2 dy dy 1+ dx dx2 assuming x > 0 and > 0. dy dx

A:

Q: Solve the differential equation dy = 1+ x. dx Use the initial condition y(1) Express y° in terms of…

A:

Q: Find the solution of the differential equation that satisfies the given initial condition. dy/dx=…

A: dydx =7xey       ;  y(0)=0                                                    (1)   Formulae used:…

Q: Solve the differential equation (y+xy+1)dr +(x²+xy²+ 2y)dy=0 by forming integrable combinations.

A: Differential equation

Q: Find the solution to the differential equation  dz/dt=7tez that passes through the origin. z=?

A: We have to find the solutions

Q: 手u等() dy dy seex dy-o 2 csey dx+ secx dy-o

A:

Q: Solve the differential equation: dy 1 1 1)y – x +1 = 0, y1= ax - - dx

A: The given differential equation is dydx-y2x-21x-1y-x+1=0. Substitute y=ax in the above equation and…