y= C,e*+ C2e¬x

Q: Find a ge neral solution to the differential equation. y" - sy'-a4y = 0

A:

Q: Find the general solution to the differential equation: y' = 8x + e²r

A:

Q: Find the differential equation whose solution is given by y? = 4ax ydx – 2xdy = 0 O ydy – 2xdx = 0

A:

Q: dy dx e5x+4y = e

A:

Q: c) Find the general solution to the differential equation = 3x(y + 8).

A:

Q: Determine all the values of m of the auxiliary equation of the differential equation, d'y = 5 da4…

A:

Q: (b) Find the complete solution of the differential equation y" + 9y = -5x² + 4cos2x %3D

A:

Q: Find the differential equation having the solution as of the following b. (x – r)? + y? = r²

A:

Q: Solve the differential equation (D2+5D+4)y=2 sn ax

A: The given differential equation is   (D2+5D+4)y=2 sin(ax)

Q: Find the general solution of the differential equation ? y" + 2y'= 0

A: The given differential equation y" + 2y'= 0

Q: Find the general solution of the differential equation ? x2y" - 3xy' + 6y = 0

A:

Q: 6xydc+(ty+9x?)dy =0

A: We have to solve the differential equation…

Q: Find the general solution to the differential equation: y' = 6x + e5z

A:

Q: 4. у 3 2ах + bx2

A:

Q: Find the differential equation whose general solution is y = c1 x + c2 e

A:

Q: Solve the linear differential equation of y' – 2xy = r.

A: Answer :The given differential equation is y'-2xy=xIt can be written as dydx-2xy=x    -(1)

Q: (b) Find the complete solution of the differential equation y" + 9y = -5x² + 4cos2x

A:

Q: Find the differential equation whoce is y= C1e-1% + solution = Czc-9x. + C2e 6x

A: A differential equation is an equation that involves derivatives or differential coefficients or…

Q: This is a second order differential equation, Give the complementary solution? xy"-2xy+2y = 2xe

A:

Q: Find the general solution of the given differential equation: 3t?y" + 7ty' + 10y = 0

A:

Q: 8. x csc ) - y] dæ + xdy = 0

A: Given the differential equation

Q: Tx?+y?)dx + 3xydy

A:

Q: Find the solution, using variation of parameters, to the differential equation (D3+D)y = sec2x.

A: Given :- The given differential equation is  D3 +Dy = sec2x Let the equation be  d2ydx2 +Pdydx+ Qy…

Q: Solve the differential equation: p3-4xyp+8y2=0

A: Given differential equation p3 - 4xyp + 8y2 = 0                                             (1)…

Q: Solve the differential equation. dy 9x?y2 dx

A: dydx=9x2y2 Formula ∫xndx=xn+1n+1+C

Q: xy'= y + 2x ,3

A: Given xy'= y+ 2x3  be a linear differential equation. We solve it by method of separation by putting…

Q: Solve the differential equation, 2xy’ + y= 2

A:

Q: Find the general solution of the differential equation ? x2y" - 4xy' + 6y = 0

A: General Solution:- The general solution geometrically represents an n-parameter family of curves.

Q: dx y- + 6x = 3yx3 dy

A:

Q: y= C, e + Cze-2+

A: Formation of the differential equations

Q: Find the solution to the differential equation y'-2ty = 4t

A: Solve the above differential equations.

Q: Solve the differential equation dx+ xydy = y²dx+ ydy

A: Given equation is: dx+xydy=y2dx+ydy

Q: Solve the differential equation: xy' + 2y = 25xy, y(1) = 2.

A:

Q: Find the general solution of the differential equation.For x=3,m=11

A: Introduction: A higher order linear homogeneous differential equation has only complementary…

Q: Find the differential equation whose solutions correspond to the following equation 1. y = C,e¬* +…

A:

Q: dy dx || x3 2+y²

A: Given differential equation, dy/dx= x³/(2+y²) So, (2+y²)dy=x³dx

Q: Find the differential equation having the solution a. y = C,e¬* + Cze=2x + x b. y = C, + C2e³x

A: Explained below

Q: dx - 2xy dy 2e'y dy y2 ニ

A:

Q: (y2+yx)dr+x?dy= 0

A:

Q: Solve the differential equation y" – 5y/ + 6y = e2«

A:

Q: The solution of the differential equation x?y" – 3xy + 4y = 0 is

A:

Q: Solve the linear differential equation dy y 2x2 dx

A: This ODE can be solved as follows:

Q: Find a general solution for the given differential equation with x as the independent variable. у" -…

A:

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

A:

Q: Find the complementary solution of the differential equation y"-y+y-y D0

A:

Q: solve the differential equation : y"+k?y=0

A: We will be solving y''+k2y=0. So,