3 5 The general solution for x' = 1 -1 -2t а) x(г) — ҫ, 1 +C2 b) x(t) = q,"e +cHe -2t +C2 1 c) x(1)= q," -2t +C2 1 1 d) x(t)=q[,"]° +C2 le 1

Q: Question 5 A | (x – 1) VE dx = AVE - +C B) zi + ei +C c)능z2 - z+C D E) 글교2+2x-a +C

A:

Q: By: Dr. Mohammed G. Al-Azawy Lecture 4 Exercises: Derive a P. D. E. for the following equations: 1)…

A: I have solution for...1,2,3...

Q: 2) Show that 2m +1 m P(x) m +1 -xP (x) m+1 (x)F

A:

Q: √²³₁(−12xy² + 8x³y + 3)dxdy

A: LetWe have to evaluate the above integral.

Q: O Which equation is equivalent to 2 In(x+ 1) = 10 ? A) x = e2 - 10 C) x = e5-1 B) x = e10 + 1 D) x =…

A: Logarithm is inverse of exponentiations. A logarithm is easy method to express large number and to…

Q: Ixe A) e¯(1 − x) + C el-r 1-x B) -I dx = +C x C) -e (x + 1) + C D) −æe¯ª + C E) e(x + 1) + C

A: Topic = Integration

Q: 23. Find the standard form of the equation. 81x -162x +36y² – 144y – 2691=0 (x-1)° , (v– 2)* - 1 [A]…

A:

Q: for Q4\ Find fo dx 1) y = (x cot 2x) 2)x+4x√√y-5-3

A:

Q: 2. State the leading coefficient, degree, and symmetry. [K/U 6] a) y=3x-4x² +2 b) y: -6x c) d) (2,…

A: Degree of a polynomial- The highest power of the variable that occurs in the polynomial is called…

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

A:

Q: a) y" - 4y + 3y = 1+ t² b) y" - 4y+3y=e²t

A:

Q: 9) Solve: (x + y)dy-(z-y)dx=0 a) x² + y² = C b) z² + 2xy + y² = C c) z²-2ry+y²=C d) z²-2ry-y²=C

A: We need to solve D.E.

Q: y" + 2y²+2=0 Find y(x), then simplify y" + 2y + 2 = 0

A:

Q: 2) z(x, y) = (x² + 5y)³ (3y + 2x)

A: Let's find dz/dx and dz/dy.

Q: Q.10) 412-8/-12 Solve 1-3

A:

Q: If y=t3, then y(6)+y(5)+y(4)+(1/3)y'=y? What is the power of y? a) 0 b) 2/3 c) 1/3 d) 3 e) 2

A: Differentiation of y with respect to t can be given as:

Q: • Solve the equation using homogenous equation (5v-u)du + (3v - 7u)dv = 0 a.)(3v +u)² = c(v - u)…

A:

Q: 2 a) y = Find y'. 3e (ax-5)4

A: Explanation and solutions is given below.....

Q: Find the center and radius for each equation of a circle.

A: Solution Given that the equation of circle  (X+5)2+(Y-6)2=121.        (1) Then find centre C( ,) and…

Q: 4) x dy-ydx=(x²+xy-2 y²)dx

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

Q: 2) a) Let T: C² C²: Ty = [x+2y-iz] 2y + iz Lix+z-2z Find [7] B [7] B and P where

A: Given information  T  :  C2 →C2T xyz = x+2y-iz2y+izix+z-2z simplify it, T xyz = x+2y-iz2y+izix+z-2z…

Q: Find the general solution of: az əz 2, дх ду (1+ /z- x – y)

A: The given equation can be written as: 1+z−x−y∂z∂x+∂z∂y=2dx1+z−x−y=dy1=dz2          ......i

Q: he equations æy² + 8xzcos(u) + ye" = 16 and x yz + xe" – 5u²v² = 15 are solved or u and v as…

A:

Q: 3) C2 -4 C=C₁UC₂ 3 C₁: line from -4 to (-4+21) C₂: line from (-4+2i) to (3+2) (Cxtiy) dz= ?

A: (.) Given ,          where    line from  to    line from  to we know that   , differentiating both…

Q: 16) Let f(m)-0 be the auxiliary equation of f(D)y=0 with solution set equal to (-1,0,0,2), then…

A:

Q: Q2) Find The root of the Equation fca)- x².x -3 -0 On L1, 2] using (the fixed point method), Where…

A: NOTE : There are no roots possible in the interval [1,2] of the equation f(x) = x2-x-3 = 0. The only…

Q: 2. State the leading coefficient, degree, and symmetry. [K/U 6] b) y= e a) y=3x-4x² + 2 -6x c) d)…

A: Given: a) y=3x4-4x2+2Leading coefficient=3, degree=4 and symmetry=y-axis

Q: 12. Solve for x. a) 를x-3=x+ 2 b) 쓰= c) (x +1) = (x – 3) x+5 2x-1 3 d) -5(x + 1) – 2(x + 1) = 3(2x –…

A:

Q: If x2 z2 + y² + xz3 = 3, then dz at the point (1, 1, 1) is: O b. Ос. - 3 d. - 3 Ое. f.

A:

Q: Find the value. 11) If F(x, y) = -9x+4y, find Fx(-4,-9) and Fy(-4,-4), xy A) Ex(-4,-9) = 1,…

A:

Q: 1 3 For V Vy evaluate y' when y = 4. A) 4 B) -4 C) -2 D) 2

A:

Q: 3). B = (2 1 (5 1 and C = -3 :), find (a) Given that A = 7 3 -1. ЗА + 2B — С

A:

Q: a) Let X₁, X₂ X and Y₁ = (X₁X₂). Y₂=X₂ find g(y₁.yz), gi(yi). b) Let X₁, X₂ - G(a.s) and Y₁ =…

A: Given that  a... X1 and X2 chi square with 2  Y1=1/2(X1-X2)  Y2=X2 Find g(y1, y2) and g(y1) b.. Let…

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.