(D6 – 3D5 + 3Dª – D³)y = 12

Q: (D4 + 3D3 – 6D² – 28D – 24)y = 0 (D3 + 3D2 + 3D + 2)y = 0 -

A: 2) (D3+3D2+3D+2)y=0 The auxiliary equation is…

Q: Solve (D³ + 3D² + 16D - 20)y=0 when x = 0, y = 1, y = 0, y" = 1

A:

Q: 2x+y 4ー dそdXdy -V4-y2

A: Triple integral is an integral of an integral with respect to three different variables. the…

Q: d²y dx2 -y = 10sin²x

A:

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: (D3 + 4D² + 9D + 10)y = -24e* %3D

A: Let's find.

Q: (4D4 - 4D3 - 3D2 - 2D + 1)y = 0

A: We have to solve the given equation.

Q: 1. (D³ - 3D²D + 3)y = 0

A: To Solve: (D3-3D2-D+3)y=0.

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

A:

Q: (D^2+2D+2)y=e^-x(cscx)

A: To find any general solution of a differential equation we have to find complementary function and…

Q: 3t y" - y' - 6y = t²e³t - 4t², y(0) = 0, y' (0) = -1

A:

Q: 5. (D4 – 2D3 + 2D² – 2D + 1)y = 0 |

A:

Q: (D3 + 3D2 + 9D – 13)y = 0. Find the solution.

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Q: (D³ – D)y = 4e * + 3e2* %3D y" = (-Axe* + 3Ae*) + 8BE2* %3D

A:

Q: [D³ – D)y = -2(1+x) + 4e* - 6e¬* + 96e3× %3D

A:

Q: Dª + 4D³ – 3D² − 2D + 1)y = 0

A:

Q: 2. (D5 – 2D³ 2D² – 3D − 2) y = 0

A:

Q: (D² – 6D + 9)y = 0 ; x = 0; y = 0; y' = 2 %3D %3D

A:

Q: (d) y" – 6y" + 11y' – 6y = e2" (5 – 4x – 3a²)

A: Given  A non homogeneous differential equation in question 2. D.

Q: 3. (Dª + 3D³ – 6D² – 28D – 24)y = 0 -

A:

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

A:

Q: (D3 – D)y = -2(1+x) + 4e* – 6e¬* + 96e3*

A:

Q: y = (t² – 2)². a²y 2. dx²

A: y=t2-22 and x=t2 Now, differentiate the given function with respect to t.…

Q: Calculate the value of D in detail D3 – 2D2 + D - 2 0

A:

Q: Find d?y/d?x from x=t2-3t+4 and y=t2 +4t -5.

A: The parametric equations are x = t2-3t+4 y = t2+4t-5 To evaluate: The expression of d2ydx2 Formula…

Q: (D³ - 3D² - 6D + 8)y = xe

A:

Q: (D² – D – 2)y = 0 (D² + 3D)y = 0

A:

Q: y' +2y = -x8y5 will be transformed to the follo"

A: Given: - The Bernoulli's equation is, y'+3xy=-x8y5 To transformed: - The given Bernoulli's equation…

Q: Find d2y/dx2 simplify in terms of x and y x2+y2=4

A:

Q: Find x and y. C 2у — 4 - В 4x D 木 A

A: Given figure is parallelogram.

Q: C. Find the general solution to (D* – 2D’ - 7D² + 8D +12)y = 0 1.

A: According to company rule, we can answer only first question and rest can be reposted.

Q: The Yp of (D²+D) y=20

A: Given (D2 + D) y = 20 To find yp(x)

Q: 2x + 글y=D2 %3D

A: Given,          The equation is 2x+12y=-2.

Q: 2. (D3 + D2 - 2D)y = 0 %3D

A: Using method of linear differential equation.

Q: 2 ( D° _ 2D - 20 - 3D - 2) y = 0 = 9

A:

Q: (D³ – D)y 3x %3D -3x2 а. Ур -3 2. b. Ур 3x2 +3 2. С. Ур -3x2 +2 3x2 d. yp 2. ||

A:

Q: (D2-3D+2)y=xe*.

A:

Q: 2. (D5 –D – 2D³ + 18D² –31D+15)y =0

A:

Q: 3. (4D +4D2 + D)y = 0. 7. (4D3 - 3D+ 1)y = 0.

A:

Q: e3x (D³ – 3D² + 2D)y 1+ex

A: The given question can be solved as shown in step2.

Q: (D² – 3D + 2)y = 2x3 – 9x2 + 6x. Find the solution. * c,e* + c2e2x + x³ + 1 ce* + cze2* +x³ ce* +…

A: Second option is correct

Q: Yt = Yt-1 + 2yt-2(Yt-3 – 1) %3D

A:

Q: 4. (D² +D-1)²y = 0 ,when x= y = 0 , y' = y" = 1, y" = -1

A:

Q: (D5 – 5D1 + 7D³ + D² – 8D + 4)y = 0 (Dª – 2D³ + 2D² – 2D + 1)y = 0

A:

Q: (9y)° D92° E (5x - 7) 36°

A:

Q: (2D* + D3-4D2 - 10D - 4)y = 0

A:

Q: 3. (D5- D-2D3 + 2D2 +D – 1)y = 0

A: This is a differential equation problem

Q: x+y=D4 2. x-y%3D6

A: Given that, There are two equation following, x + y = 4…

Q: 2. (6x-2) dy d2

A: Given query is to find the value of the integral.

Q: 3x + 8 y = - y' =D %3D y'" =D

A: We can find the first and second derivative of the given function as below.