(a) Solve the following: dy 3r - 4y - a dr 3r-4y-b

Q: Find the Solution of the ff: 1. (D³ – 3D² – 3D + 1)y = 0

A: As per our guidelines we are supposed to solve only one question i.e. the question no (1). For the…

Q: (Dª +2D³ + D² +12D+20)y = 0

A: We have to find the general solution of the equation.

Q: C has equation 2x2 +y2 = 18. Dete l passes through the point (1, 0). %3D

A: In this question, the concept of the derivative is applied. Derivative A derivative can be used to…

Q: Find the general solution of the following: 11.(D² – 2D + 5)y = 0

A:

Q: 2r+s-3 X+1 X-2

A: At first we take least common multiple of the denominators then after cross multiplying the equation…

Q: Solve the following equation 7 Зу +4 2+ %3D y -1 y -1

A:

Q: Give the general solution of (D5 - 3Dª + 8D² – D – 5)y = 0

A:

Q: Find the general solution of (D3 – 2D2 + D)y = x

A: (D3-2D2+D)y=xlet D3-2D2+D =0D(D2-2D+1)=0D(D-1)2=0 D=0 or D=1,1Therefore C.F.=C1+C2ex+xC3exnow we…

Q: Solve the second-order equation xy" + 2y' 8x? by making the substitution u -y'.

A:

Q: Solve the following equations  by the method of undeterminedcoefficients. y" - 3y' - 10y = -3

A: The given differential equation is y''-3y'-10y=-3. The auxiliary equation of homogenous part of the…

Q: Find a (real) general solution. y" + 2y' + 2y = 4e¯* sec³x

A:

Q: Solve the following equations by two methods: (a) using reduction of order, (b) using variation of…

A: Reduction of order is a technique in mathematics for solving second-order linear ordinary…

Q: Find the general solution of the Following problem? y" - 2y' - 3y = 0

A: y''-2y'-3y=0 Auxiliary equation       m2-2m-3=0 =>m2-3m+m-3=0 =>m(m-3)+1(m-3)=0…

Q: Solve: y'' - 4y' + 4y = 3e ^(2x) Show all work clearly please.

A: See the details solution in below

Q: find the general solution of the equation. y - 4y = 2e" V.

A:

Q: Solve the he 2ydx + (x² -y² )dy = 0 equation so Li 3 much

A:

Q: bx-'x5/cxfx1 b-1 (x"x/c 1/b (e) 6x0.2 = 5y0.4 (solve for y in terms of x) %3D x = (2-1/2)-1/2 (solve…

A: Since you have posted multiple sub parts, as per our policy we will answer first three subparts.…

Q: find the general solution. 18. у" + 2y' — Зу %%3D —16хe*

A: We need to find the general solution of y"+2y'-3y=-16xex. The solution is given below.

Q: Obtain the general solution. (D^2- 2D + 2)y = 0

A: Using solution of Linear Differential Equations with constant coefficients.

Q: (x+1)3 solve for y'. %3D x2

A:

Q: 3. Find all solutions to the equation (D² + 1)²D² f(x) = 0.

A:

Q: Q/ Solve the DEs: 1-1+y xix+(1+x>)¢hy = 0

A: Given 1-1+y2dx+1+x2dy=0

Q: Solve the following equation for c: 1 2-c-z 2-²-y 1 dz dy da 10

A:

Q: Solve completely the following problem. 1. (D² + 2D- 15)y 0

A: Topic = Differentail equation As per guidelines , At a time only one question can be answered.…

Q: Use an appropriate substitution to solve the equation 9. y3 %3D 13 and find the solution that…

A:

Q: (d) Solve the y" + 4y' + 3y = 0, with y(0) = 1, y'(1) = 0

A:

Q: Solve 2x + 3y = 11 and 2x -  4y = - 25And hence find the value of m for which y = mx + 3

A:

Q: a) Find the general solution of the equation d'y dy dr? + 3e* dr by using the method of undetermined…

A:

Q: Find the general solution to(D5 - 2D3 – 2D2 – 3D - 2)y=0

A:

Q: Find the general solution of the Following problem? 6y" - y' - y = 0

A: The given differential equation is: 6y'' - y' - y = 0 The characteristic equation is: 6m^2 - m - 1 =…

Q: Find the general solution of the given equation 2y''  - y' - 3y = 0

A: Given:              2y''-y'-3y=0   Solution:               We can solve this equation using :…

Q: ) Find the general solution to y" – y' – 2y = 3x + 4. (Be sure to find the values of the…

A: i have find Complementary function and particular integral, the general solution is the sum of them.…

Q: |2x+ 1|= 5 %3D If a and b are the solutions to the equation above, what is the value of a - b|?

A: Given 2x+1=5 and a, b are the solutions.

Q: Solve the he (D’+ 4D+4)y(x) = 5e equation y,)-(2x+1)e - y,) (2x+1)e y,(x) (2x-1)e 32

A:

Q: Find the general solution of the following 8. (4D² – 6D + 1)y = 0 %3D -

A:

Q: 3. Find all solutions to the equation (D² – 3D + 2)y(x) = 2e3ª.

A:

Q: Find the general solution of the following 1. (D² – D – 2)y = 0 %3D

A: To find- Find the general solution of the following: D2 - D - 2y = 0

Q: Find the general solution of the following equation. y'(x) + 3y = - 9

A:

Q: 1. Solve the following equation: а. yy" + 2y' = (y')² 9y" + 6y' + y = e¯(2 – 4x + 4x?) b.

A:

Q: ii) Solve (x D²– 3xD+4) y = x² given that y(1) =1 and %3D - y'(1)= 0.

A:

Q: Find the general solution (D3-3D2-3D+1)y = 0

A:

Q: Q1:- Solve the following DEs:- dy + 2x³y = y³x3 dx

A:

Q: Solve using Exact equations: 3xy ^ 2dx + (3x ^ 2y + 4y ^ 2) * d * y = 0

A: 3xy ^ 2dx + (3x ^ 2y + 4y ^ 2) dy = 0

Q: Solve the following D-E 2) y³y" – 3y*y' = 0

A:

Q: Solve the following DE: 3x³y = 2y(y- 3) Oy-3= Cye-1/x² O 2y-1= Cye/x Oy+3= Cyel/x² O 2y-1= Cye-1/x²

A:

Q: The general solution for Legendre equation (4 – x2)y" – 2xy' + n(n + 1)y = 0 is %3| -

A: Given The given equation is 4-x^2y"-2y'+nn+1y=0

Q: Find the general solution of the following 13. (D² – 2D + 2)y = 0

A:

Q: = 0

A:

Q: Find the general solution of the Following problem? y" + 2y' + 2y = 0

A: The coefficient of d2ydx2 is 1, the coefficient of dydx is2 and the coefficient of y is 2.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.