Find the general solution and draw the phas (a) [] d dt y 2 x

Q: Find dy dx dy dx for y = √u and u = x2 + 3.

A:

Q: Determine whether it is stable or unstable. D) dx₁ dt = 3x₁x2-x1 + x2 dx₂ dt =x²-x₁

A: D Given system of differential equation is dx1dt=3x1x2−x1+x2dx2dt=x22−x1 We have to determine…

Q: Find d dx L 0 4x 1+x4 1 1+x4 2x 2 1+x² 1 21+t2 dt

A: Step 1:Step 2: Step 3: Step 4:

Q: Find F′(x).

A: Given Data The integral function is F(x)=ꭍxx+2(4t+1)dt.   Solve the given integral function,

Q: (a) F(3) = (b) F'(3) = (c) F"(3)

A:

Q: ay ax px + y X

A:

Q: dy Find if y= dt 1 2 u+u and u = 9+ 5t.

A:

Q: 1-x -x? dy dx -1 J-V1-x² (1 + x + y)² X.

A:

Q: Find d implicitly 3y³ − 7x³ + 2x = 0 dy dx dy 21x²-2 da y² y = dy dx dy dx = 21x²-2 9y² 9x² - 21x² +…

A:

Q: Show that (A − B )T = AT − B T .

A: Given  (A − B )T = AT − B T

Q: d | Vsint dt dx 3 2.

A:

Q: Find dy if y=33 dx 09x² 3x² 3 3x² 9 음

A: Solution-

Q: dx -Зх — бу 3D 0 dt dy 3x + 3у %3D 0 dt

A:

Q: How do you evaluate ∫ba r(t) dt?

A: Consider the given: ∫abr(t)dt Consider the first fundamental theorem of calculus: Let r(t) be…

Q: 16 d :| (2V8– 1) dt da. valuate dr. dx 5.

A: We have evaluate to the given expression

Q: t².edt J (P)

A: Solve the following

Q: what is the dependent variable and linearity of the DE: d(xy)/dx + xy=0?

A: We will find out the required values.

Q: J(2t-3)-e-t²,3t i. 2t – dt 3 2vlnx dx . ii. X 2 iii. (2y-3]12 kdy.

A:

Q: Solve the IVP dx -16 dt -32 X, x(0) = 4-181 x(t) = [22]

A:

Q: Determine the linear approximation of f(x) = =ª at æ = 1. O a. y=- 4x-3 O b. Not in the list O c. y=…

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Q: g(x) g'(5) = 2 X 13 1+t2 dt

A: Given query is to find indicated derivative.

Q: Find dy dr || - for y = dr r S 9 +10t2 dt. 0

A: To find dydr for y=∫0r9+10t2 dt.

Q: Find f, (9,0) if f(x,y) = 4x eY. fy(9,0) = (Simplify your answer.) %3D

A: We can find the required answer as below

Q: 3 = | (4t² – 5t – 1)đt

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Q: Find R of the function Y = f(x) = vx %3D

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Q: 1. S x²+x+3 (x-2)(x+1) dx

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: dy +2y=e¯X dx

A:

Q: INTEGRATE THE FOLLOWING: (2x+1)dx S (x+2)^(x-1)4 (æ+6)dæ S (x+2)²

A: