= Untitled - Paint Home View Hiw let y=(uti)" and x=(u²+2)% find- 2) Find dy Find i x=t+ y= t- +

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Q: t+1 dy If x = and y = t2 - 2t +3, then find t-1 dx

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Q: M-2-Sin(X y) nd dm dt X = t. yclint Z=et-1

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A: The given system of differential equation is. dxdt=ax+by                     ......1dydt=cx+dy…

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Q: y to solve the following linear differe ] dy

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Q: Given dy dy dz² +2 + 5y = e dr and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the…

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Q: Y = w tan-1(uv), u = r + s, V = s + t, w = t + r when r = -1, s = 2, t = -1 1. as at ar as %3D

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Q: H-wlo Find the dliscontinnity point of &cz):

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: dy is let y = ln(V – 9 + a). -9+x then dx S'

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Q: Evaluate xy dx + (x + y)dy along the curve y=x? from (- 3,9) to (- 1,1). | xy dx + (x + y)dy =|…

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Q: dz and dy dz Find 2° In (1+ xy

A: Given that:  z = x9 ln( 1 + xy-5/6). We find dz/dx and dz/dy. Here i attached solution of this…

Q: - Evaluate the follwoing | r" exp(ax")dx where a + 0 and m+l = 1, 2, 3, ...

A: Given integral is, ∫xmeaxndx Substitute, u=am+1nxm+1dudx=m+1am+1nxm+1dx=1m+1am+1nxm+1du Then,…

Q: --- Q#3 Evaluate Cf 2x dV →Where E = {(x, y, z)| 0sys 2,0sx sV 4 - ,0 < z y} ,0 sz< y} Ee

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Q: Hiws slove du 4 dt %3D dx2 u(6,t) = L (8,t)=0 U(x, a) =0 : =4X-()x²

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Q: For x> 0, 음 S"규E dt = Itt? %3D

A: For x&gt;0, we need to find ddx∫1x11+t2dt. Leibniz's rule for differentiation under the integral…

Q: (a) Let I = dx. Show that I² = dx dy. R2

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

Q: dy Find dz If ze" + (Inz)y + y? = 3

A: Find dydx if xex+ (ln x)y +y2 =3 We will differentiate terms and then sum them up. So, ddx(xex) =…

Q: SSS 12z dV E where E is enclosed by z = x? + y² and z = 1 О Зл O 27 O 4T O JT

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Q: Evaluate /f/2e(*+у*+ dV over B where B - {(a, у, 2) : а? + у? +2? < 1}. Тake п %3 3. SSS 2e(z²+y° О…

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Q: se Green's Theorem to evaluate SC (5y-9x)dy-(yx-x³)dx where C is shown below

A: Follow the procedure given below.

Q: dy Find dx at the point ( x, y ) = (1 , 0) If e *y = e * In(x²) + y² + 1 %3D

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Q: i) ais f(x,y) = x2 + 3xy + y -1 Laalic * Te Te

A: Given that  Af(x,y)=x^2+3xy+y-1  To find the partial differentiation of f(x,y)

Q: If y =Aex +Be™ d'y -(m+n) dy. Show that + mny = 0 dx

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Q: dy if y = vt' -e' and x = dx Determine In(6t)

A: dy/dx = [7/2 t^5/2 - e^t] [ln(6t)]^2/ t^2 [3ln (6t) -1]

Q: S dy S f(x, y)dx

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Q: ;+ 2リ+y = ハ- cos(t) Slove the D- E t2 with. Ze Vo initial cuudition s En gineer ing Analysis

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Q: Given x²y3 = In(xy) Show (using complete solution) if the equality below holds dx (x\(3x²y3 – 1\ dy…

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x

Q: Lind -2x+H where X- oro Zy

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Q: (2)S, dx where c = constant let c-x = e-x Inc %3D

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Q: dz and ду dz Find z = x° In (1+ xy° dz az dy

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Q: dy x fanx

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Q: Find the general solution to dw ol Sa'(t) = x(t) – y(t) + 3e'; ly'(t) = y(t) – x(t) + 2e'; (8) (8)…

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Q: 2. Find the solution (implicit or explicit) dy (y+1) = 3sin(x). y(7)= 2 dx %3D

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Q: 27 dz, C: z(t) =t – ti, t e [-1,5].

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Q: Differentiate e w repect to X. expression (x2+y)" (use D fur dy)

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Q: dx dy If L = Va? + y?, = -5, and dt = 2, find dt dL when a = 3 and y = 7. dt %3D dL dt

A: Given query is the derivative of L over t at x = 3 and y = 7.

Q: Arrang e linear form: dy + Px)•y= Q) in ov dx (16 + 2+)dQ =[4(10+zt)- 20]dt

A: The linear form of differential equation is: dy/dx + P(x) . y = Q(x) Or dx/dy + P(y) . x = Q(y)

Q: S 6 ttan t dt = %3D dx Jx

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Q: Evaluate: [S y² dV where E the solid hemisphere x² + y² + z² 0

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Q: التاريخ H.w: Campute y fas) With -xýet-x)e | Find @ Euler pc

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Q: Let @ = 7e* dx ^ dy + ae³ dx ^ dz and n = 7e*y dx + 14e* dy+ e³ dz, where a E R. Find the value of a…

A: Given: 2-form, ω=7exdx∧dy+αeydx∧dz. 1-form, η=7exydx+14exdy+eydz.  where α∈ℝ. To find: The value…