y" - y = e2* – sin x

Q: Find the general solution for differential equation.

A: Derivative of a variable measures the rate of change of it with respect to some other variable. A…

Q: find the general solution of the first-order linear differential equation. y' + (tan x)y = cos x

A:

Q: Obtain a linear differential equation with real, constant coefficients that is satisfied by the…

A: Given

Q: What is the general solution to the differential equation x de = y + y cos x ?

A: Let's find.

Q: Find the general solution of the differential equation y′ = √x y

A:

Q: Solve the differential equation with the given initial value condition: = xy + 2x; y(0) = 3 dx

A:

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A:

Q: 2. Solve the differential equation using separation of variables: dy + y² + y = 0 dx

A: The given differential equation is  xdydx+y2+y=0

Q: Find the solution of the differential equation y' + ex+1 tan y = 0

A:

Q: Solve the differential equation – xtan(y – x) = 1 dx

A: Using substitution y-x=t We can reduce inform of variable separable

Q: Find the solution of the differential equation y"+y' = sin x %3D

A:

Q: Find the general solution for differential equation.

A: To obtain the solution of the differential equation dydx=4e2x, multiple both sides by dx and then…

Q: 3. Find the general solution of the differential equation d²y +y = e2x + sinx + 2. dx2

A:

Q: sin x sin y y' cos x cos y

A:

Q: Obtain the solution of the differential equation y′ = (x + y)^2

A: Given differential equation is: dydx=(x+y)2                       (1) Let us assume (x+y)=t…

Q: The solution of the differential equation y" – 2y' = x + sinx

A: we have to solve the given differential equation

Q: Determine the solution to the differential equation given by: (2xy-9x2)dx+(2y+x2+1)dy=0

A: Here,      2xy-9x2dx+2y+x2+1dy=0⇒2xy-9x2+2y+x2+1dydx=0⇒2xy-9x2+2y+x2+1y' =0Here, ∂Mx, y∂y=∂Nx, y∂x.…

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

A: Givendydx=xywith y(0)=-5

Q: (d) y' – y = e"

A:

Q: Find the general solution of the differential equation, (5e-3 sin (3x)) dx + (5xe-y + 2 cos(3x)) dy…

A:

Q: (c) y' – y = e2=

A:

Q: Eq (2) g (x)-2y(x ) =x (y (x l)

A:

Q: (c) y' – y = e2¤

A: We have to solve

Q: y' + (2 tan x)y = - cos'x

A:

Q: Find the solution to the differential equation dx 8xy which passes through the point (0,e). Express…

A: We will solve the equation by method od separation of variables.

Q: Find the solution for the second order differential equation y-4y = x sinh x.

A:

Q: show complete solution Solve the given differential equation using type 1: x2(y+1)dx+y2(x-1)dy=0

A: It is differential equation.

Q: 4. xy = x cos( y/x)+y

A:

Q: What is the linear differential equation of the bernoulli’s equation dy/dx-y[1/(2x)]-y^5=0?

A:

Q: Find the general solution of the differential equation. (x'' 1) y' osx ca-y) こ

A:

Q: Find the general solution of the differential equation y′ = x(1 + y)

A: Given differential equation - y' = x1+ydydx = x1+ydy = x1+ydxSeparating variables - dy1+y =…

Q: y+ e*y= e*y²

A: Given differential equation is : dydx + ex y = ex y2   ⇒ dydx = ex (y2 -  y)   We will use…

Q: What is the general solution of the differential equation; y’ = 2x cos (x^2)

A: solution:-y'=2x cosx2solving the differential equation we getdydx=2x cosx2y=∫2x cosx2 dxlet x2=t2x…

Q: - ydx + (x ++ Vxy )dy= 0

A:

Q: Find the general solution of the first-order linear differential equation for x > 0. dy = 30x + 14…

A: Consider the given information:

Q: What is the particular solution to the differential equation [x+(1+x)y] = 12 with y = 0 and =0 when…

A:

Q: Find the two power solutions of a given differential equation about the ordinary point x=0. 1.…

A:

Q: Find the particular solution that satisfies the differential equation and the initial condition.…

A:

Q: general

A: Please refer to the image below

Q: y' + xe*-y = 0

A: To Obtain the general solution of the Differential Equation

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

A:

Q: Use separation of variables to find the general solution of the differential equation. e*(y' + 4) =…

A:

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

A: Given: dydx=ylnx

Q: 1. x²y y' = ey

A: Lambert W Function: The general solution of any equation of the form xex = a is given by the…

Q: Determine the solution to the differential equation given by: y' + 2y = 4 cos x

A:

Q: dy 47. = cos cos 2x, y(0) = 3 dx

A:

Q: Show that given differential equation is not exact and hence find its general solution (x³ + y°)dx –…

A:

Q: Use separation of variables to find the general solution of the differential equation. e*(y' + + 3)…

A:

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.