Solve for y. P(0)=(-12/37, y), P(0) is in Ql

Q: 2. Eliminate the arbitrary constant on the given equation: y = C₁e-²x + De4x

A: Given  y=C1e-2x+De4x

Q: Find the solution of the DE using variation of Parameters y''' - 3y'' + 3y = (ex/x)

A: The given problem is to find the solution of differential equation using method of variation of…

Q: Q5. Transfer the Cauchy-Euler equation to a constant coefficient equation and find the general…

A: Given x2d2ydx2+3xdydx-2y=x2sinlnx

Q: B- Solve one of the following initial value problems for y as a function of x: 2. = - 1, y(0) = 1 dx

A: Given initial value problem dydx=1x2+1 -1      , y0=1

Q: Use variation of parameters to find a general solution: y(3) – 4y = et.

A: Given differential equation: y3-4y'=et         ...(1)

Q: dy - y = e2*y³ dx

A: Let's Solve,

Q: Solve the non-homo. D.E. 1.y" + y = 3e2x

A:

Q: the solution of the homogenous equation (хусот х -)dy - Ydx = o

A:

Q: Find the general solution of y’ + (1/3)y = exy4

A: We have to find the general solution of the differential equation y'+13y=exy4 .

Q: Solve for all possible solution in the equation y^2 + y = x + Inx + e^y - x^2, using Secant Method *

A:

Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' 1+ e2y •y(0) = 2 (h=0.01) .What is the error in…

A:

Q: 6z dy (78)a

A:

Q: y'e² 3-2х y' = y– xy

A:

Q: 31 Solve by the Method of Variation of Parameters: y" – 3 y' + 2y = cos e t

A:

Q: classify the y'ty&e-o differantial equation and find its generad solution.

A: Y’ represents the first derivative  and y occurs in first power So, its first order linear In…

Q: Find the general solution for the homogenous equation of y′′ − y′ − y = 0.

A:

Q: Find a particular solution to y"+2y' + y =t

A:

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

A:

Q: Solve for all possible solution in the equation y^2 + y = x + Inx + e^y - x^2, using Secant Method

A: We have the following equation in two variables : y2 + y = x + ln(x) + ey - x2   As there are two…

Q: Obtain the general solution. 1. y' = xy?

A: We will find out the required general solution.

Q: Use the method of Variation of Parameters to solve. SHOW WORK. y" – y' – 2y = 2e-t

A:

Q: 3) Solve y"-4y't13y y0)=-l sy'co)= 2

A: The given differential equation is                                                     y''-4y'+13y=0…

Q: Find the general solution of the equation xy' = ky that is valid for x > 0.

A: We have to find y(x) for this equation which is valid for x>0. We use integration to solve this…

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

A:

Q: Solve the Bernoulli equation. 3xy' + y = y¯8 x>

A: We have to solve

Q: Find a particular solution for: y" - 3y' + 2y = te*

A:

Q: Find the general solution to the DE using the method of Variation of Parameters 8 y" – 4y = e2x + 1

A:

Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' =- 1+e2y „y(0) = 3 (h=0.01) .What is the error in…

A: According to Euler's method: yn+1=yn+hf(xn,yn), where xn+1=xn+h and h is a considered step size.…

Q: Q16// find the general solution (cosx)y²dx + 2ysinx dy = 0

A: I

Q: 4 Solve y" – y" – y' + y = 2e¬t + te' + 3 by using both the method of undetermined coefficients and…

A:

Q: Solve the initial-value problem for y as a function of x. (16 – 2²) dy 1, y(0) = 7 dæ Y =

A:

Q: equakan ,yy= xe Solve the ditferen fal with initial condition yl0) =-2

A: Given : yy' = xe-y2y0 = -2

Q: solve for y in terms of t or x, as appropriate.

A: given: lny=-t+5 we have to solve for y in terms of t or x, as appropriate

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

A:

Q: Q/ Solve the differential equeion tx²y)dy=2xydx

A: The Given differential equation is: (x2-y2)dy = 2xy dx Rearranging the differential equation:…

Q: x²y"+xy'-y= x 2

A: Given Cauchy-Euler equation is x2y''+xy'-y=x.

Q: Find a particular solution to æ' = -x – y + e', y' = 2x + y – ešt using undetermined coefficients.

A:

Q: Use the method of variation of parameters to solve the following y + 4y + 4y e- In z, z>0

A:

Q: Q3) Use Euler's method to estimate y(0.02) ey-x y' = 1+ e2y •Y(0) = 1 (h=0.01) .What is the error in…

A:

Q: Suppose ay" + by' + cy = 0 with y(0) = d and y'(0) = k has a general solution y = 4e2 3. What are…

A:

Q: (i+z) dy 3. Solve (itx) 9

A:

Q: Find the complementary function Yc, the particular solution Yp and the general solution of the…

A: Given that, y''+y'-6y=e-t+t

Q: (b) Find the general solution of: əz = yx² - xy Əx Given z = y when x = 1, determine the particular…

A:

Q: Q1:-Using Euler method to find y (2) using h-D0.5 for y' = 9 **, y(0) 1

A: # we are entitled to solve one question at a time, please resubmit the other questions if  you wish…

Q: Solve the following equation to obtain the family of solutions.Show your solution. (9+y²)dx +…

A: Finding the solution of differential equation

Q: Use variation of parameters to find a particular solution of y'' - Y = 4e-x 1-e-2x Yp (x) =

A: Solution of the differential equation, By using the method of Variation of perameters

Q: y+1 =xy- all selutions ?

A: Given y+1=xy'-y'2

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

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