The general solution of y"-y"-2y' = e31 is: Select one: o a. а. O b. y(t) = c, + cz e?' + cz e- +e O C. v(t) = c; + C2 edr + Cz e¯t -e O d. v(e) = c; + c2 e?1 + €3 e=t+e"

Q: ду a) Әх дz Әх

A: Given query is to find the Indicated partial derivative.

Q: a Example: Suppose that det d det? с b+c 11a det fe+f -11d h+i -11g. Lg h determinant using…

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Q: 2. ryy = y² – x²

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Q: 8. Find m2C. 7. Solve for x: B (9x- 2)° (3x- 2)° (14x-19)° (19x- 3)°. A (9x +7)°

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Q: Solve y" - 2y + 17y=0

A: If the roots of the characteristics equation are complex numbers a±bi, then the general solution of…

Q: Find x and y. A x = 48, y = 12 (B) x = 4, y = 12 (C) x = 19, y=8 (D) x = 19, y = 12 A z+8 D 3y-5 I E…

A: From the given figure,We have to find the values of and .

Q: Q5) solve using crammer's rule ? x y and 1 -1 13 2 y o 3. 2 -6 -4 1

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Q: sec² (w) - -dw 4w2 +1 10.

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Q: Solve for x :C+Vz + m = A

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Q: O Solve y(0) -1, yro)= -2

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Q: x² y² + (y²) ² y" = = U C

A: We are going to solve this by substitution method

Q: Solve (2y +5)dx = 6dy O a. y = 3In(2x+5)+ c O b. x = 3In(2y +5)+c x =- In(2y+5) +c O d. x =…

A: Given that          (2y + 5)dx = 6dy Now we solve this differential equation.

Q: if y= Find dz Iz-1 21-6 Answer:

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Q: OSalve Y+ 164=326 yo)=3 (0)= -2 8.

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Q: C. mBY BY = %3D

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Q: y = x - 2|-1? A A В C O None

A: We have to find the graph

Q: 2. 5x + y = 13 "3x + 3y = 3 Check and Solution: The solution is:

A:

Q: IPIAI Evaluate p²^z^¸¶= J=

A: The given integral is;

Q: #X-N, (M. E) where QX)-2X +3X;-2X,x, Find M.

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Q: Х ахду + ди ду = 0

A: We have given an partial differential equation xϑ2uϑxϑy+ϑuϑy=0withu(x,0)=x5+xu(2,y)=3y3 To solve the…

Q: solve: U = F (b+R) for b

A: In given equation firstly divide by F on both sides and find the value of b.

Q: B. Solve the PDE: X daw ?хду ди = 0(u(x, 0) = x5 + x anqu(2, y) 3у3

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Q: Evaluate by Algebraic Substitution: |1+ Vz dz 5.

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Q: Solve for a: »2-a-x² (2-a²-y 4 dzdydx 15 %3D 0. a

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Q: 4. Solve y"-9y0. Your Answer:. y" +9y= 0. Your Answer: y"+y6y=0. Your Answer:

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Q: B) fometie w= xty+y2-23, x²ry*+2?=6

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: x²dx 2. Lo x*+16 8.

A: Using integration formulas

Q: lect the DEst answer for the questioT. 14. Solve for y: -5(2y + 3) + 5 = 40 O A. y = -5 1 O B. Y = 5…

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Q: 2. Consider the matrix a A = 1 11 1 a 1 a 5, where a is some real number. Use the criterion based on…

A: The given matrix is A=a1111a1a5 where a is a real number.   If A be a symmetric n×n matrix, then we…

Q: ele3++2) =

A: The following formulae are used in finding the Laplace transform of the given function.

Q: ve for C: F = C + 32 - C = ²F-32 b. C = (F-32) C. C

A: Given: F = 95C+32

Q: (03 • 20 +D• 2) y =0

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Q: (15x - 8) 226

A: Given,

Q: as Find w = 1° + 2y? I = r - s; y=r+2s2

A: Given:w=x3+2y2x=r-sy=r+2s

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.