The general solution of y" – 4y + 4y = 0 is O y = Ce2t + C2e-2t -2t y = C1e2t + C2te O y = Cit + C2ť² O y = Cet + Czte²t ,2t

Q: 2. y" + 4y = 8t²-20t+8

A:

Q: 5 4) L-1 s² + 2s – 3

A: First break into partial form then use in verse laplace

Q: y(6) – 4y®) +6y® - 4y'+y =7

A: Answer

Q: S={(x,y)∣∣x is the son of y}

A: The given set S={(x,y) | x is the son of y} is not a mathematical or geometrical expression. It is a…

Q: 15. z+i · (z − 1 − i)³(z − i) JR-1 dz

A:

Q: Evaluate I 5/2 U (4-u) du · Su² 3/2

A:

Q: 1) S dx 9-x2 dx 2) J2y-2 x2Vx2 -2 3) dx 2 V1-x2 |3D

A:

Q: 6) n - 3 = V 44 – 4n

A:

Q: Solve Ux + X YUy +U=0

A:

Q: 1 6. V1+ Vrdx 0,

A: Step: 1 Given that  ∫011+xdxTake y=∫011+xdx---(1) let 1+x=t⇒x=t-1---(2)differentiating on both…

Q: 7-9. Write the polynomial in factored form and then in standard form (multiply it out) with the…

A:

Q: y = 6 7x, y = 67u-1 7x — 1, у %3D 6" 67*, y = u+6-1 –7x, y = 6“ 6*, y = ux-1 TEXT P = V72 + 14 7, P…

A:

Q: 2x-2y+1 5) y' = x-y

A:

Q: Obtain characteristics y² Uxx + Uyy = O

A: Given equation is  y2Uxx+Uyy=0 Now comparing with  AUxx+BUxy+CUyy=0 We have A=y2, B=0, C=1

Q: X」+iyュ-Xz+iy2* =xロ Y」=V,ロ しr%3DV 2.

A:

Q: If X = U+v , y =U-V then Show that + 2 du? = 2) ( %3D nene Than ded uce that wok cu+ v*+ (u+v) g…

A:

Q: Qil If y , Show that y=2x- 2y3

A:

Q: 9) If y = 3x +x² - 5 and z = x2 - 12, find 2(y +z).

A:

Q: Find y' for y = 8x³ + 5x² − 7x + 4 - A) 24x + 5 C) 83x² +52x - 7x B) 3x² + 2x - 11 D) 24x² + 10x - 7

A:

Q: 6. + 6x) + (In x - 2)y' = 0

A: Given : yx+6x+(lnx-2)y'=0

Q: 2.P=12x+19y Subject to ちx+4y>=45 2x+5y=0 3.P=zzx+26y Subject to X=10 Y=18 X,y>=0

A:

Q: Xxy-Z = Gauss eleminatin %3D 2X -y42=5 -x +2y+23 or

A: We have to solve given problem:

Q: 4. (x 2)2 + (y + 4)2 = 16 %3D

A: Since you have asked multiple questions in single request so we  will be answering only first…

Q: Why did we plug in x = 1/2 at the last part of the solution for the second problem

A:

Q: 4y² – 25 -dy

A:

Q: r solution to y" + 7y + +10y

A:

Q: Solve the IVP y" – 8y' + 25y = 0; y(0) = 2, y'(0) = 2

A:

Q: Find J2z Әх у of z = x3 + 5x² у + 6

A:

Q: Find the most general antiderivative. | (7x3 - 3x + 2) dx A) 7x4 - 3x2 + 2x + C B) 21x2 - 3 +C C)…

A:

Q: 3) Solve over Z. + 1 = /y+l5 %3D

A:

Q: (a) Verify that yp, = 3e2* and y,, =x² + 3x are, respectively, particular solutions of y" – 6y' + 5y…

A: To verify the given statement and to find particular solutions by using the given statement.

Q: у" — у' — х %3D 0

A: We are given: y'''-y'-x=0⇒y'''-y'=x Auxiliary equation is : m3-m=0⇒m(m2-1)=0⇒m=0, 1, -1 Hence,  CF=…

Q: How many 2 letter codes can be formed using A,B,C, and D if each letter can be used any numner of…

A: Here we have two place and any letter can be at any place. Now we have two place and in the first…

Q: 5) y = V V+ V? + Væ

A: The function: y=x+x2+x

Q: 8. (2D3 – D² + 36D – 18)y = 0; when x = 0, y = 0, y' = 2, y" = 4 %3D %3D

A: Solution

Q: Q19) The general solution of 2x²y" + 3xy' - 15y = 0, is: a) y(x) = = ₁x² + ₂x³ b) y(x) = c₁x + ₂x-3…

A: As per our company guidelines, we are supposed to answer only the first question. Kindly re-post the…

Q: 6. y = V2x – 3x . Find y'" -

A:

Q: Q4\ If A(x,y, z) = 3x²i + 3zj – 3xk find the Div (Grad A). %3D |

A: Explanation of the answer is as follows

Q: Select all equations that are equivalent to a-6z 16. a + 6x 9 0 O b a + 6x +9 = 16 Oc a+6x + 9 = 25…

A: Solution:-Given equation,     x2+6x=16  —1let us see and solve each option given,a…

Q: homogenous DE 3udv-vdv-udu-vdu=0

A:

Q: (D³ – D)y = 4e * + 3e2x X. a. Ур а. у, — 2хе * + 2xe+ +-e e2x b. Yp = 2xe +e2* X- 3 2x C. Yp = 3xe 2…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.