(D² – 1)y = 5cosx

Q: Q6. Find the general solution using variation of parameters of y"+ 4y 8tant %3D | 2

A: To solve the differential equation:

Q: Solve x?y" – 2ry' + 2y = x³ In x by first finding the complementary solution and then using the…

A:

Q: Q6. Find general solution of the DE 4x²y" + 8xy' + y = 0

A: This is Cauchy- Euler equation. We can solve this equation as follows :

Q: Specifically a differential equations problem. Question in pic below.

A: Here, y’’ +2y=-8x

Q: D. y" + y’ - 3y = 4sin 2x

A: This question is related to differential equations, We will solve it using given information.

Q: Solve the d.e. using Method of Undetermined Coefficients (MUC) (D² – 3D – 4)y = 30e4x ||

A:

Q: 3r dθ+4θ dr=r2θ3 dr (SOLVE USING NON-EXACT METHOD OR INTEGRABLE COMBINATION)

A: Given differential equation is, 3rdθ+4θdr=r2θ3dr

Q: Solve the equation using Reduction of Order (D² - 5D + 6) y = 2e* Oy=e+c₁e²x + 2c₂e³x Oy = √² + ₁³x…

A:

Q: Find the general solution to t?y" - 13ty' + 49y = 0

A:

Q: 6. Find the solution of dy = (y² – y)x². dr

A: Definition used -          The solution of the variable separable differential equation-…

Q: p" +2y' – xy = 0 n(x)= e

A: Given

Q: The solution of (D² – 4D+13)y 0 5 2x (A eix . Be Jox (A ex + Be)

A: D2-4D+13y=0 The auxiliary equation is m2-4m+13=0 ⇒m=4±-42-4132⇒m=2±3i

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

A: Given:

Q: Use undetermined coefficients to find the particular solution to y''−4y=2e^−3t

A: Use undetermined coefficients to find the particular solution toy''−4y=2e^−3t

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) d'y dx2 + 2y = 3 , y…

A: I am attaching image so that you understand each and every step.

Q: dy = 6x(y – 1)2/3. dr

A:

Q: (4D* – 4D³ – 23D² +12D+ 36)y = 0

A:

Q: Obtain the genral solution. (D3 + 5D2 + 7D+ 3)y=0

A:

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

A:

Q: Use the method of undetermined coefficients to find the general solution y'' +3y' +2y =e-t +t2 +2t

A:

Q: Using the variation of parameters, find the particular solution of (D2 +1)y = secx

A:

Q: (5x2 – y²) dx + 2ydy = 0

A:

Q: G) (2x-yJdx + (4x. +y-3)dy=

A:

Q: Use undetermined coefficients to find the particular solution to y'' – 7y' + 10y = 3e-2t Y(t) =

A:

Q: Solve 4y"+ 36 y = cosec 3x by using the method of variation of parameter.

A:

Q: Use undetermined coefficients to find the particular solution to y''+ 7y' + 10y = 3e Y(t) =

A:

Q: 11. (D- D)y = 0.

A: As per our guidelines only one question can be solved. Please find the solution for Q no 11 below:

Q: Find the solution. d3x d?x d³x dx + 2 =0 dr3 dr? dt

A:

Q: Q2\Using the variation of parameter , find the solution of: y'+9y= sec3x

A: Particular solution by variation of parameter where W is wronskian of y1 and y2.

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

A:

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) d²y z + 2y = 3 ,y…

A:

Q: (D³ – 3D² + 9D+ 13)y= 0

A: Answer and explanation is given below..

Q: Solve the equation for y: ax + by = c

A: We have to eliminate the term 'y' and thus we get the solution.

Q: Solve the follawing D ·E. 2. y²dx + (3xy +y²-1) dy =0

A: Please refer the attached image for complete solution.

Q: Find the general solution 5. (D² – 1)y = 0

A:

Q: Use undetermined coefficients to find the particular solution to y'' + 4y' – y = 5t° + 5t + 8 -…

A:

Q: dy Find the general solution of xy + y² dr x2

A: According to our guideline, we can solve only first question of multiple question.So, here we solve…

Q: Use the method of undetermined coefficients to find a particular solution to y'' – 9y' + 20y = 3et…

A:

Q: Q3/ Solve the following equation by (Finite Difference Method), choose (h= 0.5) +2y 3 ,y (0) = 0,…

A:

Q: (D3 – D² + D – 1)y = 15sin2x 4. Find the general solution of using method of undetermined…

A:

Q: solve the equation y′′+y=5sin(t) using the Method of Undetermined Coefficients.

A:

Q: Use undetermined coefficients to find the particular solution to y'' + y' – 3y = 4t + 5 Yp(t) = %3D

A:

Q: Solve dy dy dr? + y = 2sin(3r) dr using the method of undetermined coefficient.

A: We will solve by undetermined coefficient method

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

A: Find the solution using variation of parameters to the diffrential equation (D3 + D)y = sec2x

Q: Find the solution of the this differantial equation. y''' = 5sin2(2x)

A:

Q: Solve dʻy - 2x- xe 2x– xe dx² by using the undetermined coefficient method.

A:

Q: Use the method of undetermined coefficients to find the particular solution y, y" – 4y" + 4y' = 2x –…

A:

Q: 02. Solve the DE. y" = x2sinx 2. by using variation of parameters method.

A: Given: y''' = x2sinx.