P(A u B) = 0.4 and P(A n B) = 0.2. Find P(A) + P(B).

Q: x+8 A E 3x F 17 B

A:

Q: Find (a) The constant K (b) P(X> 1) (c) P(|x|<3)

A: To determine the value of K we will use the fact that the integration of pdf f(x) over whole range…

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: Find LF D 14 12 3x +3 C E 7. 3.x

A: Both triangles are similar triangle, So, 3x + 33x = 1412 = 76 18x + 18 = 21x x = 6

Q: In the given question , find d2 y /dx2implicitly in terms of x and y :- x2 y - 4x = 5

A: Given that, x2y-4x=5

Q: Find EF in the trapezoid. x+7 D E 3x 8 B

A:

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

A:

Q: c. The f'(3) for y = v3x² + 9

A: c)y=3x2+9

Q: (x-C,)' + y² = C;?

A: (b) In this question, we have to find the differential equation for the family of curves.…

Q: Y=kx +3 for x

A:

Q: 4. (D2 + 2D + 1Jy = 6

A:

Q: ds dS S 2. Find the solution 2 -= 5t³S³ dt t

A: Let's find.

Q: uagrange's method requires that pX² – µd + q²µ? = 0.

A: The function of three variables z, k and l is in the form of zk,l=pzk+1,l-1+qzk-1,l+1 And it is…

Q: (ii) Find P 0<Y =D1 %3D

A:

Q: b. Px(m + n)- 16(m+ n) (x² 主 - 4) (x + ) (m + n)

A:

Q: B/ solve the following Second order O.D.E d²y + 5y = –180x²e5x

A:

Q: Show that п-2 Ag:1 = E :uk+'4æ + v"n-1Px• k=0

A: Given  Ax:n=∑k=0n-2vk+1qxk\+vnpxn-1

Q: Find the general solution of the following: 7. (D³ – 4D² + 4D)y = 0

A:

Q: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3* -3x

A:

Q: Find the general solution of the following 17. (D² + 49)²y = 0

A:

Q: ve for x. R P• 2x-3

A:

Q: Obtain the general solution: 1. (D² + 6D + 9)y = 18e 3x

A: The given differential equation, D2+6D+9y=18e-3x.....(1) is a non-homogeneous linear differential…

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: -D12- 4.

A: there is only one variable to find the solution.

Q: Is S Gx² + 5x + C)dx = 3x + 5 correct?

A:

Q: The fx³5x dx is x²+2 {A} x − ² (x² + 2)² + C 5 {B} x + ²(x² + 2)² +C {C}-{In|x² {D}+In|x² +21+ C…

A: integration

Q: メe %3D find df 4 メ=ら トメ %3D 3.

A:

Q: 3. PDE r + a²t = 0, has the solution :

A: A partial differential equation is given as r+a2t=0. The objective is to find the solution of the…

Q: Q3/ find the general solution of the following PDE yzx – xz, + x2 –- y? = 0

A: The given PDE can be written as  yzx-xzy=y2-x2

Q: -2 c. [.x²e²²x² dx 0

A:

Q: y' = - 2xy

A: The given differential equation is y'=-2xy⇒dydx=-2xy The given differential equation can be solved…

Q: Find the solution. dy 3+9y =2ty53 (A) y- 3er - 3 (B © y - 34-3e2

A: To solve the given differential equation first we will arrange the differential equation in the form…

Q: So (e2t + e-t)²dt

A: We have to solve

Q: Find the general solution of the following: 12. (D² + 9)y = 0

A: We will find the general solution of given differential equation as shown below

Q: X° +x + Q6 06 Answer with all details, Evaluate fIn vx + dx. х3 — х2 + х — 1

A: We will solve the integration problem by integrating both the terms individually.  We will assume…

Q: Find the complementary solution: (D^3+D)y=x

A: QUESTION- Find the complementary solution:   (D^3+D)y=x

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

A:

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

A: We need to find the general solution of the given differential equation. The general solution of the…

Q: Find the general solution by substitution or elimination Q6 A: * = x -2 y +t — х —у+2t dt

A: The system is x'y'=1-21-1xy+t2t Obtain the eigenvalues: A-λI=01-λ-21-1-λ=0-1-λ2+2=0λ=±i The solution…

Q: ez (z² C +1)

A:

Q: The population of a colony of squirrels is given by 1500 p(t) %3D 3 + 2e-0.1t

A:

Q: B/ solve the following Second order O.D.E d²y + 5y = -180x²e5x

A:

Q: Find EF in the trapezoid. A x+8 5x 10 EF = %3D

A: In this question we have to find middle segment EF.

Q: Find the general Solution of the diff. equ- x*y" +zxy-2y=D0 ?

A:

Q: Given the function C(n) = 3nt – 30n3 + 72n2 -

A: The given function is- C(n)=3n4-30n3+72n2

Q: 2. (D³ +5D² + 6D)y=24e -3x. Use two methods.

A: Here solving given DE (2) in two different method.If you want anything else kindly repost the…

Q: -5V3 c) S.v V100 – x²dx (give exact answer) 5

A: Solve the following

Q: ds Find the solution 2- dt S 5t3S3

A:

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.