2 = 5y + e-2*y-2 ; when y(0) = 2 dx

Q: 3. y" - 2y" - у' + 2у %3D е4x + х2 +1

A:

Q: Solve for the general solution of the below differential equation. y" + 3y' + 2y = cos x

A:

Q: 13 Find solution of non-homogeneous differential equation (D* +1)y = sin (3x)

A: Find complementary function and particular integral

Q: Find the general solution for differential equation.

A:

Q: Find the general solution for the first-order differential equation. dy dx 16x

A: We have to find general solutions of given equation.

Q: Find the general solution of the first-order linear differential equation. xy' + y = x³3 + 1

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: 1 3. y' -- %3D xy+x²y3

A: See the details solution in below

Q: 1. Describe the solution of the differential equation ydx – 2xy dy = 0.

A:

Q: The Bernoulli's form of the differential equation x³ydx + (3x¹ − y³ )dy = 0 is

A:

Q: Find a general solution of the second-order nonhomogeneous differential equation y" - 2y' + y =…

A:

Q: Find the general and Singular Solution of the following differential equation y=2PX-P²

A: To Find:  General and singular solution of the following differential equation :      y = 2px - p2

Q: Determine whether y 3 sin 2x + e-a is a solution to the differential equation y" + 4y = 5e

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 a particular solution to the differential equation y" + Oz/ – 16y = -768t°.

A: Given: y'' + 0y' - 16y = -768t3

Q: 2. y-폼-y 1 ミ、 6x 3x2 ||

A:

Q: Find the general solution of the differential equation: 3ydx = (3x + 1)dy

A:

Q: Find general solutions of the differential equation    2xy+x^2y'=y^2

A: Given

Q: y' + (1+ 2x2) .e²²+y = 0

A:

Q: Obtain the general solution of the given differential equation: dy = cos²xcosydx

A:

Q: 5. Find the solution of the differential equation 2dy + ydx = y'(x-1)dx (Bernoulli)

A: given that

Q: The general solution of the differential equation Py' - 2y Inx ry" is

A:

Q: Determine the solutions of the following differential equations using Type IV:

A: Given that: (x2-x-2y+1)dx-xdy=0 and y(1)=12

Q: A particular solution of the differential equation y" – 2y' + y = e* is

A:

Q: what is the particular solution to the differential equation dy/dx=3sin(x)(2-y)with the initial…

A: You need to apply variable separable metod to solve the given differential equation.

Q: y' - Зу %3D =x*y/3

A: Given differential equation y' - 3yx = x4y13

Q: 1. y'- = xy2

A: Solution is given below:

Q: Find general solutions of bernoulli differential equations.   y' - xy^2 = 2xy

A: Write the Bernoulli differential equation in the standard form: Rewrite the given differential…

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

A:

Q: 'dy = (cscx- ycotx)dx

A:

Q: Find the general and Singular Solution of the Following differential equation X-YP = ap²

A:

Q: 1.) Find the general solution to the first order differential equation given below. -3x 3xe 2x y' 4y

A: In the given question we have to solve the given ordinary differential equation of first order and…

Q: solve the differential equation using Bernoulli. xydx+(x2-3y)dy=0

A: Given differential equation is  xydx+x2-3ydy=0 which can be written as…

Q: dy dx 6e²x-y

A:

Q: dy 2y2 + x²e=(÷)² dx 2xy

A: dydx=2y2+x2e-yx22xy----(i)Let y = xudydx=xdydx+uPut the value of y and dydx in equation (i) we get…

Q: y' = y – xy'e-2x

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The Bernoulli's form of the differential equation x³ydx +(3x² - y³)dy=0 is

A: To determine the Bernoulli's form of the differential equation x3y dx+3x4-y3 dx=0.

Q: Find the general solution of the given second-order differential equation. у" + бу' + 9у %3D0 y(x) =

A:

Q: 5. Solve the second order differential equation, dx2 + 4+ 4y = cos2x, given y = 4 and dy :3 when x =…

A: 1f(D2) cos ax = 1f(-a2) cosax 1D X =∫X dx

Q: 13. Solve the ivp differential equation: +y = e2x; y(0) = 0,y'(0) = dx

A:

Q: Find general solutions of bernoulli differential equations.   y' + 2xy = -xy^4

A: The given Bernoulli differential equation is,

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: Find the special solution of ele differential equation. = 20x - 4x3 dy dx y with the initial value…

A:

Q: The particular solution of the following nonhomogeneous differential equation y" – 2y' +y = x² + e¬*…

A:

Q: Show that y1 =- and y2 = Vx are solutions of the following differential equation 4x3у" + 7x?у' — ху…

A: According to the given information, it is required to show that the given y1 and y2 are the…

Q: Find the solution of the differential equation4xy y' = y² + x², satisfying the initial condition…

A: