T1 P1V1/T1 =P2V2/T2

Q: S V1 – 9t2 dt

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: 4b² + = 2 b2 1 8b3 + b3 Presh Talwalkar 1.

A:

Q: i. v² =v² +2a(s— s.) ,a =

A: Note: Due to guidelines I can solve only the first question.Thanks   Solution: i) v2 =v02 +2a(s-s0)

Q: (g) 2s²+3 (s + 1)²(s² + 1)²

A: Fs = 2s2+3s+12s2+12                                                     1Fs =…

Q: F(s) = = 4 3s7(s²+3)

A:

Q: @ (3.+j4)*

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: 7. (D² + D²)z = a²y²

A:

Q: N +2 t4 3 V

A: "Since you have multiple questions, we will solve the first one for you. If you want any specific…

Q: (d) S (s² + a²)(s² + b²) (a + b)

A:

Q: t2 + 4 у(1) — 1. 3t3 + 4t2 –4t

A: A differential equation contains a function and its derivatives. The differential equation can be of…

Q: 8+t +6t -12t3 dt. 1. Evaluate 3t² +4)(+7

A:

Q: 3s2 + 5s + 1 (s)= (s2 + 15s + 34) %3D

A:

Q: f(-2) =

A: We have to find (a) f(-2) , (b) f(-1) from the graph  we get the graph passes through the point…

Q: 1-0 1-V

A: The given function for integration is,

Q: 3t2 +t + 4 7) dt t3 +t

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: V2, V3 ¢ Q

A: We have to prove that K=E then prove that

Q: (e) S (s² + a²) (s²-b²)

A:

Q: V 48° 2 38° Z.

A: The given circle is: As we know the sum of angles of a triangle is 180°.

Q: d2/dt2 (t3 + 2t2 - t)

A:

Q: Find general solution a' =

A:

Q: f (z) = -4,3

A: GIVEN : f(x) = -4x3

Q: (k) Yk+1+Yk = (-1)*,

A: We have to do proper summation here.

Q: 1 (s + v2)(s - V3)

A:

Q: v+4 dv v-2

A:

Q: Find the value of k that satisfies the following equation:

A: Given:  det 2a12a22a33b1+5c13b2+5c23b3+5c37c17c27c3 = k det…

Q: Б 2 dv v2.+ 6v - 7

A: Given integral is,∫2∞dvv2+6v-7 We have to find its value. We will use the formula:…

Q: 24h5i4j2

A: 36h⁸ i⁴ j⁶ ÷ 24h⁵ i⁴ j² = (1.5)h³ i⁰ j⁴ = 3h³j⁴/2

Q: VZ A2 + B2 =0 A2 + VZB2 + C2=0 B2 + VZ Cz = 0

A: We have to solve the given system of equation.

Q: n7(t) = (t – 2, t2 + 1), t = -1:

A:

Q: V9x2+4 dx V9x2+4 +c V9x2+4 +c 3

A:

Q: t2 dt [#41] (1 – t2)3/2

A: ∫032t21-t232dt Now, integrate the integral,…

Q: 2x e2x e +3e7+2

A:

Q: 10. (–2 – j2/3)(-1+ jv3)

A: To determine:     To solve apply the distributive law of multiplication and the fact that j2 = -1…

Q: Vn - 1

A:

Q: V24 of b² c³ 3 24 a b c

A: Let given expression be x  ⇒x = 24a4b2c3⇒x = 24a4b2c312⇒x = 2412×a412×b212×c312⇒x = 26×a2×b×cc⇒x =…

Q: v(v² –1)dv v² +1

A:

Q: t² + 4t +4 3t +6 t-2 t² – 5t +6

A:

Q: = ("z)0 n.

A:

Q: + v==) + (s - v=5€ -3 +

A: It is simple calculation

Q: 6) -3-j4 (b) - 3 tj4 (d) 3-j4 (a) 3+j4

A:

Q: 2- 5s b) F(s)= (s – 6)(s² +11)

A:

Q: 3csc 0 = V3 csc 0+ csc 0tan 0+ 3csc 0

A:

Q: 4. f(r) = r² + 1;(-2, 2|

A: Average value: Average value of a function y=f(x) in an interval a, b is given by, f=1b-a∫abf(x)dx…

Q: (c) d 4t2 4t²e4t²–1 dt

A: d/dt of e^t=e^t.

Q: |z+2/=1

A:

Q: J2

A:

Q: P(-2 < Z < 2)

A: P(-2≤Z≤2) = P(Z≤2) - P(Z≤-2)                     =P(Z&lt;2-01) - P(Z&lt;-2-01)…

Q: 1. P(Z < 2.73)

A: The value of P(Z&lt;2.78) will be obtained using standard normal table: Procedure for finding the…

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.