d. f(t) = E 1 -8-

Q: dy 3. + y = e3x dx

A:

Q: Q4) Solve the D.E = *-**y²+2x* ya dx

A:

Q: 10 What is the value of S" F'(x) dx ?

A: Given,            y=Fx         We know that,        ∫abF'xdx=Fb-Fa

Q: If y(t) is a function s e problem

A:

Q: Q2) Solve the D.E xdy + (2y – x* + 3x)dx = 0

A:

Q: dy ニ 3 x +y-2

A:

Q: d, 3 Find dx -)- + x(х - 1)). A -3 +2х-1 B +1 -3 +1 -6 +2х-1 x3 (D

A:

Q: (d) S ! + de 1 d.x V1-x²

A:

Q: d y Solve dx2 +4+3y-e dy ² dx

A:

Q: ((t + 1)e2t dt

A: To evaluate:∫t+1e2tdt

Q: d 3 4тe-m? dy -m² dm y

A: Note that, the fundamental theorem of calculus says: If F(y)=∫ayf(m) dm then ddy∫ayf(m) dm=f(y)

Q: Evaluate the integrals

A: To evaluate, ∫01∫03-3x∫03-3x-ydzdydx

Q: S. y dk t x dly luhere L=

A:

Q: calculate d2y/dx2 when y=3/x

A:

Q: d (g) d.x -t2 dt e

A:

Q: If f(2) | e'f(t) + e" dx then f(x) is equal to

A:

Q: If fſ f (x)dx = 8, what would f f(x)dx equal?

A: Given, the definite integral gives result 8. Concept - when the limits of integration is changed…

Q: e. S √ x e √x d x 0

A: The given integral is ∫0∞x4e-xdx To find: the given integration.

Q: Find d2y/dx2 for the equation x=x3y2-3y3

A:

Q: Evaluate e dy y = - - 5-

A:

Q: d. x²dy + (2x³y – e*)dx = 0

A:

Q: Find (a) E (Y/X= 2)

A: Answer: Using the given joint probability function for the random variables X and Y

Q: If fe F dr = Sc(x - 2y³) dx + (x²y) dy, what is F?

A:

Q: 2k2+3 00 k+ 3 et None Announce A E Px dx F

A: We have to check

Q: -dy (49 – y2 )

A:

Q: calculate d2y/dx2 when y=0.4x-0.3

A: use this formula:

Q: e + xy + 4x = 1 ise y"(0) =?

A: ey+xy+4x=1 Differentiating with respect to x, we get…

Q: r4 1- So ey/Vx dy dx 2.

A: Explanation of the answer is as follows

Q: (e) f(x)=(Vx 3

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

Q: S(x-ae )Vx² + 2e" dx -ах - ах 11.

A: Let's find.

Q: Find f(t). e s2 + 1

A:

Q: 1. y" - y' - 2y = e* %D

A:

Q: Find GH. 19 .C H. 9х- 3 5x + 1 E.

A: In this question given that a trapezium FECB and in this trapezium two side are parallel BC||FE .…

Q: Then E(((X + 2Y)'D is equal to:

A:

Q: L, L, x² e*y dxdy 1- 1

A: The graph of region of integration is as follows where orange part represents the area of…

Q: The answer for x is correct but the answer for dy is wrong.

A:

Q: 5 If f(x) dx = 37 and g(x) dx = 16, find [2f(x) + 3g(x)] dx.

A:

Q: calculate  d2y dx2 . y = −  4/ x2

A:

Q: If f (x) | e'f(t) + e" dx then f(x) is equal to

A: Given function is f(x)

Q: If s = 4t² + 10t + 2, find the value of ds/dt when t = -2

A: Given s(t)=4t2+10t+2

Q: (d) y = x* (e) y = In(e2r + e-2#) (f) f(r) = e-

A: See solution below

Q: d-y if x = t – t² and y = t -t3 dx2 1. Find

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

Q: Solve D.E. y" – 4y' + 5y = 0

A:

Q: Find d²y/dx² for the following equations: e) xy + y² = 1

A: Given equation is xy+y2=1 find d2ydx2

Q: -2 S.f(x)dx -4 a. b.5°2f1x) dx C.5f(x) dx

A:

Q: calculate d2y/dx2 when y=-2/x2

A: Given: y=-2x2

Q: Q2) Solve the D.E dy – (2x/1– y²)dx = 0

A:

Q: Find d²y/dx² for the following equations: e) xy +y2 = 1

A:

Q: 9. (D² - 1)y = 2/(e – e-*).

A:

Q: 1. If g (2) = 59 and fg'(x) dx = 25, what is g(5)?

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