dy e2x-3y, with y(0) = 1 dx

Q: Solve the differential equation. dy/dx = 5x√ y

A: Given differential equationdydx=5xy⇒dyy=5x dx⇒dyy12=5x dxy-12dy=5x dxIntegrating on both…

Q: Solve the differential equation dy/dx = e2x-y/ex+y

A:

Q: The solution of the differential equation below is dy = ky dx %3D

A: Solve the differential equation dy/dx=ky

Q: dy + ху dx y

A:

Q: y'dy-(4y + 48x kdx = 0

A: Let us consider the linear non homogenous  first order differential eqaution of the form  dydx+p(x)…

Q: Solve the differential equation. dy/dx  = xe-y

A:

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

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

Q: Identify the type of differential equation and solve (3xy +3y -4)dx +(x-1)2dy = 0

A: Given: Differential equation…

Q: Solve the differential equation 4. xdx e-x + (Y+) dy y³

A:

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

A:

Q: Solve the given differential equation by undetermined coefficients. y" – y' = -4 %3D y(x) =

A: We have to solve the given differential equation by undetermined coefficients.…

Q: solve the differential equation dy + x(2y - ex-x2) dx = 0

A: We have given the differential equation; dy + x(2y - ex-x2) dx = 0

Q: Solve the differential equation given below. dy = 2(-2 – y) dx

A: Given equation; dy/dx = 2(-2 - y)

Q: dy xー+y dx

A: Given differential equation is: xdydx+y=1y2 We have to solve the above differential equation. Then…

Q: Solve the Differential Equation (D² – 4D +3)y = sin 3x. %3D

A: We can solve the given problem using CF and particular solution.

Q: Solve the differential equation dy y cos(* dx

A:

Q: Solve the differential equation 2√xy dy/dx = 1

A:

Q: Solve the differential equation for y. 2 dy d²y ey dx. dx² 3%. =

A:

Q: The solution of the differential equation below is dy Зу- + 4x = 0 dx

A:

Q: Solve the given differential equation by separation of variables. dy e -7x - y + e dx

A: To solve the given differrntial equation by using separation of variables.

Q: Solve the given differential equation by separation of variables. dy - (y- 9)2 dx = 0

A:

Q: Solve the differential equation xyy = y – 1

A:

Q: 1. dy x3 dx 2+y² ||

A: Solve the differential equation

Q: dy 3r'y² || dx

A: We solve the differential equation as

Q: Solve the differential equation (1+x)dy/dx=4y

A:

Q: dy 2x dx = 3xy + y? ;y(1) =-2

A: dydx = 3xy+y22x2

Q: Solve the given differential equation (D -3D+2)y=xe* +sin2x

A: We will find out the required solution.

Q: y!V – y"'+ 2y' = 0

A:

Q: Solve the differential equation: y3 dx + 3xy2 dy = 0

A:

Q: /solve the differential equation ty-y'sinx-x)+(3x +zy.osx)d

A: We have to solve the given differential equation. Given differential equation is in the form of the…

Q: 5y*y' = x?y' + 2xy

A:

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

A: Given differential equation, xdydx+2y=5-1x         ...(1)

Q: Solve the differential equation  2y(y^2 - x)dy=dx

A: Given :    2yy2-xdy=dx

Q: Solve the given differential equation by separation of variables. dy dx e³x + 4y =

A:

Q: Solve the differential equation. y' + 2y = 3 sin(e2x) %3D

A:

Q: Solve

A: The solution is as follows below :

Q: Determine the type of differential equation and solve y2dx - x(2x+3y)dy = 0

A:

Q: Solve the given differential equation by separation of variables. ety dy eУ + е-5x — у dx =

A:

Q: xdx e-x + (Y+) dy уз = 0

A:

Q: Solve the differential equation. dy/dx = 3x2y2 for y ≠ 0

A: This question can be solved by seperating x and y terms and doing integration.

Q: Solve the differential equation dy dz (y²z+g²)

A: Given- dy/dx = 1/(y2x+y2) find- Differential equation. note- In solution c is just a constant.

Q: Solve the differential equation. dy 10x 16 - y, -4<y<4 dx %3D - The solution is (Type an equation.)

A: Topic = Differential equation

Q: Solve the differential equation. dy 5x e -y dx =

A: topic - differential equations

Q: (e– 1)y' = 2 + cos.x -

A: Let us consider the differential equation of the form dydx=f(x)g(y) Rewrite the equation as…

Q: xy'y = x + 1

A:

Q: Solve the differential equation dy y = e"y³ dx Give an implicit solution and use c as the constant.

A:

Q: Solve the differential equation (D² +1) y = x² cos 5x

A: Solution :-

Q: dy 1 ху + dx ' 1- x2 = xy2 ху2

A:

Q: Solve the differential equation: dy + 2xy = y da

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.