dy cos 2x; y(0) = 1 dx

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: (x3 + ) dx + (y² + In x) dy = 0, is exact differential equation.

A:

Q: Find the general solution of the given differential equation. x2(dy/dx) + x(x+2)y = ex Determine…

A: The differential equation is x2(dy/dx) + x ( x + 2) y =ex.

Q: The solution of the differential equation y" – 2y' = x + sinx %3D

A:

Q: 2. Solve the differential equation dx for y = f(x) with the initial condition y(0) = 2.

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: solve the differential equation y′′ + y = 4 cos(t)

A: solve the differential equation y′′ + y =4cos(t)

Q: Solve the differential equation: [y³ – y²e* – cos(x – y)]dx + [3xy² – 2ye* + cos(x – y)]dy = 0 ;…

A:

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

A:

Q: The value of 'a' for the exact differential equation (1+ +)dz - dy is O - 4 O 2 O -2

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: (2xy-tany)dx + (x² – xsec*y)dy = 0; y(1) = *

A:

Q: solve the differential equation.   y cos2 x dy + sin x dx =0

A: The given differential equation is,

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: xy"+y'=0; y1=ln(x) How can this second-order differential equation be solved by general solution?

A:

Q: II. dy dx 2x² x(y² + 1)

A: We have to find the best way to solve the given First Order Differential Equation by Finding…

Q: the particular solution

A:

Q: solve the differential equation. y cos2 x dy + sin x dx = 0

A: Given: ycos2xdy+sinxdx=0 for solving this differential equation we use variable separable method…

Q: Solve the differential equation + cos(x+ y)+2x]dx+[xe' +cos(x+ y)-1]dy = 0

A:

Q: Find a particular solution y, of the differential equation: y" + 9y = 2 cos 3x + 3 sin 3x

A: Explanation of the answer is as follows

Q: find the solution of differential equation 1 + x dy + dx y =

A: we have to find the solution of differential equation: dydx+1+xxy=exx

Q: y" - y = e2* – sin x

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

Q: -The Bernoulli's form of the differential equation 2x'dy-y(y² +3x)dx=0 is

A:

Q: The Bernoulli's form of the differential equation xdy - [y + xy³ (1 + ln x)]dx = 0 is

A:

Q: The solution of the exact differential equation (²+y' cos x)de+ (2xy+3y sinx)dy=0 is:

A: The given equation is y2+y3cos xdx+2xy+3y2sin xdy=0 The given equation is of the form Mdx+Ndy=0…

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

A:

Q: 1) Find the general solution of the differential equation. y^(4)-y=4t+cos(t)

A:

Q: Find a single solution y(t) of the differential equation y′′=2

A: A differential equation can be solved using the variable separation method. In this method, the…

Q: Solve the differential equation dy/dx = ex-y + ex + e-y + 1

A:

Q: Solve the differential equation = 8x³(y² + 1) with initial condition y(1) = dx V3. Your answer…

A:

Q: 2 Px = 2 tan y + P³ cos² y Find the solution of the differential equation.

A: Equations of the First Order But Notof The First Degree

Q: Solve the differential equation y" - 3y+2y cos(e-x)

A: A solution of a differential equation is an expression for the dependent variable in terms of the…

Q: Solve the differential equation with the given initial condition. dx 1 x with x(2) = 7 3 y E - - dy…

A:

Q: show that there exists a unique solution to the differential equation y'=ln(xy); y(2)=1

A: Unique solution to differential equation

Q: solve the differential equation. y ln x ln y dx + dy = 0

A: Given y lnx lny dx + dy = 0

Q: Solve the first order differential equation. dy - y ln(y ecos x) dx = y sin xdx

A:

Q: solve the differential equation  (y+siny)y' =x+x^3

A:

Q: the general solution of the differential equation (2xy- sec2x) dx + (x  + 2y) dy = 0

A: First, find the exact form of the equation to which it belongs.

Q: Solve the differential equation cos(x + y) dx + (3y² + 2y + cos(x + y)) dy = 0. f (y). Express your…

A:

Q: Find the general solution to the non-homogeneous differential equation. y" - 3y' = sin(3x)

A:

Q: B2. Find the general solution of the linear differential equation. (tan-ly-x) (1+y²) dx dy

A: Concept Used: A first order differential equation is said to be linear differential equation if it…

Q: 2 Px = 2 tan y +P³ cos² y Find the solution of the differential equation.

A:

Q: Solve for the differential equation: dy/dx - ytan x = cos x

A: To find the solution of the linear differential equation of first order y'+Py=Q, where P and Q are…

Q: Consider the differential equation x² dx dy *+ xy + 4x². a) Show that the equation can be written as…

A:

Q: 2. | Determine the general solution of the given differential equation y" -6y" = 3- cos x

A: The solution is given as

Q: Solve the differential equation by an appropriate method. d³y, dy dx3 tanx dx

A: Find the complementary function and particular Integral of the given equation. Its general solution…

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.