Find the selution of the intial value problem y'+y=g(t),ylo)= 2. where 0人上< A) nene of the given answes. (e'-t, et D) yl) = 242et 2dt4に26り。上>! E) yH) = S2e,2.

Q: 17) pla) = a' – 5; Find p(x – 4) %3D

A:

Q: If =x+3y-z,=4xyz, w=22 -xy evabuate d(u, v,w)/ (, 2). at (1-,0).

A: We have to first find all partial derivatives.

Q: 15. S (9z + 15z* – 8z° +2 + 4) dz 9.

A:

Q: X у 503 12

A: Recall: sin θ=opposite sideHypotenuse cos θ=adjacent sideHypotenuse We have, θ=60°, opposite…

Q: (7) 3x-7>11 ans./ (-co, -4/3) u (6, co)

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

Q: 1) y" - 36y = 0.

A:

Q: 2. J Зу /7—Зу?dy

A:

Q: Solue the guen equaitions %3D

A:

Q: 2) x + xy+y -7= 0, (1,2) Ans. -4/5

A: We have, X^2 + xy + y^2 - 7 = 0 Differentiate with respect to x, we get 2x + [ x • dy/dx + y • dx/dx…

Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: 2) y' – 10y + 25y 24te y(0) = –2, -10; - = (0)fi

A:

Q: yA B1, 1) R: A(l,0)

A: As per bartleby guidelines, for more than one question first one needs to be solved. The required…

Q: Consider the following bivariate data. Point ABCD EFG HIJ 0. 1 34 y 5. 8. 4 3 4. 1 1 (a) Construct a…

A: Hello, since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Calculade the Pomer Seriee af na o y'=

A: The given differential equation is 2-xy''+xy'+y=0. Let y=∑n=0∞anxn. Then, y'=∑n=1∞nanxn-1…

Q: cos cos 21/3

A:

Q: 1) x² – y² = 25 , y" %3D

A:

Q: Giren that S ) FWdx=2ondd SZ flx)dx=-7Pnd the roluç of 76Sdx Plx)dx=-77ndthe Yoluç. of

A:

Q: 2. y = Vg(h(x)) (g) cha))た. A'(x)'a 1,

A: To find the derivative y=√(g(h(x))

Q: IF layy.z) = I, evaluate S tby,z) dv, where E = {P,O, Q) : osGS IM , %3D

A:

Q: Find T N, o$ B for the carve at the indiccted poinat r0=12,c号ど) (1,!,}) at 3. 3.

A:

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

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

Q: Find yp for y" + 5y' + 4y = -2x + 3 1- O Option 1 XIN 2 +8+ C

A:

Q: dx Evaluate LJv by using Trapezoidal rule (up to three 1 + x? decimal places). [Ch-4(B), Expl-2]

A: We have to evaluate ∫01 dx1+x2 by using Trapezoidal rule.

Q: If Fu,y, z) = xzi + xyzj =ý k, find v.È %3D ........

A:

Q: DUN PP 금 (8) 시대 1 ㅎㅎ ㅎ ㅎㅎ ||| AP dx y = u² and u = x² + 2 ***** DUE (b) y = u and u = 4x² ay I 이미…

A:

Q: Stan"(w}sec°(w)ax u )کب + 27 + ه-)J ب)ا 20 - )J No appropriate Match au)کی - 207 - ه-)J du )قی + 27…

A:

Q: Ify = 5+5 In x - 2e" dx 5. -2e" O a) 5 + O b) 5 In(1) - 2e O) 5 2xe-1 d) 5 2e" Oe) 5 + 66

A: Given y=5+5*lnx-2*ex so differentiation of y is dy/dx

Q: (e") = :一

A: Our aim is to find the derivative of eπ i.e, ddx eπ =?

Q: EX Let A= [23], B-Qn [3,5] at C= AlQn [osl] which true? ) HL (AUBUC)=4 2) HL (AUB)-2 3) HLLBUC)=1…

A:

Q: 3. Prove the Distributive Laws: PV (q^r) = (pVq) ^ (pVr) and p^(qVr) = (p^q) v (p^r).

A:

Q: 3)으 rcose de Jsine 1-x2 d ¿= xp 2

A: LEIBNIZ RULE

Q: (15 49)} = at* e²¹ sen(71), et 2-¹ {-98 (8-2)² +49)} = What's the value of a*c?

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.