Find the General and Particular solution of = 3y ; y = 3, when x = 0

Q: Find the solution of the following IVP: y(t) = dy -2ty=9t²e², y(0) = 5. dt

A:

Q: Find the particular solution of 3x ydx – (x + y)dy = 0 y(1) = -2.

A: 3x2ydx-(x3+y3)dy=0M=3x2yN=-x3-y3My=3x2Nx=-3x2Since My≠NxTherefore, Non Exact diff. eq.Find…

Q: Solve the given DE y'= X - x 3 — 2y 3 3ху 2

A: We have to solve the differential equation

Q: Find the solution of dy e y- dr ey +e-2x-y

A:

Q: xy^2y'=x^3+y^3 Bernoulli Equation Answer is y^3 = 3x^3 (lnx +c)

A:

Q: Is y = e-x + 2xe-* a solution to y" + 2y' + y = 0.

A:

Q: Find the particular solution that satisfies the initial condition. x3y'+2y=e1/x^2, y(1)=e

A:

Q: Find the solution. 2y" - 3y' + y = 0 (A By = c,e 1- ©y = c,e Dy =c,e

A: Find roots of  characteristic  equation  of given differential equation .If roots are real and…

Q: Find the particular solution of xy" + xy' 13; y = 0 and y' = 1/2, when x = 1.

A:

Q: Find the general solution of the DE: y"+y' + 2y = 0

A:

Q: If y = f(x) is the solution of y' – 3y =-12.e 9z, f(0) =1, then

A:

Q: Find the solution. y'• ty ty" © y- (1-c, y- - (1-co")

A: We have to solve y'+ty=ty3 This can be written as: y'+ty=ty3⇒1y3y'+tyy3=t⇒1y3y'+ty2=t⇒1y3dydt+ty2=t…

Q: A. Find the general solution of y" = 12x². dy B. Solve for y F dx - 4 x²-1

A: The given differential equations A) y''=12x2 B) dydx=4x2-1 use the integration formulas,…

Q: find the general solution of the given equation. 3y'' - y' = 0

A:

Q: The equation y² = cx constitutes an implicit general solution to the DE: Select one: а. 2yy' = x O…

A: The differential equation corresponding to the general solution y2=cx has to be found out.

Q: Find the general solution to t²y" +2ty' - 2y = 0 given that y₁ (t) = t is a solution.

A:

Q: Given the initial condition y(0) = 1, find the particular solution of the equation y' = e3x - 2y

A:

Q: Obtain the general solution of the following equations:    2y(x2-y+x)dx-(x2-2y)dy=0

A:

Q: The solution to y + y = 0, y(0) = 1 is positive for all z e R. 14e

A: Given initial value problem is

Q: Use undetermined coefficients to find the particular solution to y'' + 3y' + 2y = 4e - 2t Y(t) =

A: Given:

Q: Find the particular solution to D²y – 6Dy + 9y = e3x – ex when x = 0, y =y' = - 3 %3D

A: For given differential equation we have to find particular solution.

Q: Find the general solution to y" – xy' = 0. -

A:

Q: Find the complete solution of: y" + 4y' + 3y = e with y(0)=1 & y'(0)=0 4.

A:

Q: y' + xe*-y = 0

A: The solution is given as

Q: Obtain the general solution. (xy + x) dx = 2 2 y + x + y¯ +

A: The given differential equation is…

Q: (2x2y+3y3)dx - (x3+2xy2)dy = C Solve for Particular Solution when x = 1, y = 1

A:

Q: Find two values of r such that y =x' is a solution of xy" - 4xy' - 24y = 0 , x> 0.

A: Given:                 x2y''-4xy'-24y=0y=xr Differentiating y=xr, we get…

Q: Find the solution of y" – by' + 9y = 16 et with y(0) = 2 and y' (0) = 1.

A:

Q: determine the particular solution of: y"-4y'+3y=e^t +t^2

A:

Q: Find the general solution to y" – y = t e

A:

Q: (b) Solve y" + e*yf + (1 + x²)y = 0, %3D x = 0, if y(0) = 1; y'(0) = 0. %3D

A:

Q: Find the solution to y - x+t y' = y if r(0) = 5 and y(0) = 4. %3D

A:

Q: nd the general solution to: 2yy -e^ = 0, |

A: The question is taken from the calculus in which we have to find  the general solution of  given…

Q: Find the general solution of the given DE. y"-2y"-y'+ 2y 0 %D

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is given by

Q: Find the general solution to / + (xy)² = y²e%* .

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the particular solutions of the following equations: dy 4r +y given y-4, when x=1

A:

Q: Obtain the general solution of the following: A. (D2 − 1)y = ex + 1 B. (D2 + 1)y = sec3x

A:

Q: Find the general solution to: 3X y^ - Gy' +Qy= x*e*

A:

Q: Find the General Solution dy dr = y? – 3y²cos (x) 1.

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

Q: -Find the solution of y"+y' + by = 0 by transforming y = x"u|

A: Put y=xαu in the given equation y'=xαu' y"=xαu" Then the equation becomes xαu''+axxαu'+bxαu=0 Now…

Q: 3. xdy - [5x*(x²+y²) +y]dx= /x²+y² (xdx + ydy)

A:

Q: Find a particular solution to the DE: y"+ 3y' – 4y = e* xe B. Yp = C. Yp = x²e* D. y, = xe-x E. None…

A:

Q: Find the general solution of the di f ferential equation *+ x .2 d²y + (x² – )y = 0.

A:

Q: Find the particular solution of y" + 2y' – 3y = 0 when x = 0, y = 0, y' = -4. %D

A:

Q: Find the general solution of the equation 4y'' + 4y' + y = e-t/2

A:

Q: Given: Max Z=30x+25y x+2y>6 2x+y26 x,y>0 Solve for z

A:

Q: Solve the bernoulli's equation x(6x^2−y−1)dy +2ydx =0.

A: The given Bernoulli’s equation can be written as: