Given z = 18 In(t) and y = 324 t2 then find dy dz dy da?

Q: Given z = 9t – 11 and y = 81 sin t %3D dy (i) dz dy (ii) dx?

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Q: Find dy/dæ in terms of t if x =t – t°, y = 2+ 4t dy/dx =

A: The differentiation of parametric form of functions can be done by using the formula,

Q: dy Find - for y = du dy du = = [19+ √9 +10t2 dt. 0

A: given y=∫0u9+10t2dtTo find: dydu

Q: Q1-lf x= cot-VE, y= , find dy dx' dx2 at t = 2. t+1

A: We have to find first order and second order derivative of the given parametric functions.

Q: dz 2. Given z = 4x2 + y²,x = sin t, y = t², find- %3D dt

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Q: Given y = V4x + 5, find the differential dy when a = 7 and dæ = 0.3. %3| Round your answer to three…

A: Given data:   The expression for the given function is y=(4x+5)1/2. The given value of x is x=7. The…

Q: Given f(x, y) = 3æ'y- 8ry. Compute: www dy?

A: This question can be solved using the concept of partial derivatives.

Q: Find the general solution for y(t) where, dy 10t dt y II

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Q: b- Yt dt + dBt dY; 1-t

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Q: dy=(0.5x- 3) Co 3)° dx

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Q: Given dy dy +2- dx + 5y = e and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the %3D…

A: Hi! You have posted multiple questions. As per norms, we will be solving only one question. We will…

Q: dy/dt= 2e-t/8, t is greater than or equal to 0

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Q: Given a+ yx = e¥ , what is 1-y dy dz 1+y dy 1+y dz 1+y el-I

A: Given equation is x+yx=ey We have to differentiate the given equation. To differentiate given…

Q: Given the equation dy = 3x2 +1 with y (1) = 2 %3D dx Estimate y(2) by Euler's Method using h = 0.5…

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Q: [e?v ycos (xy)] dx + [2rev - xcos (xy) + 2y dy = 0 -

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Q: Given z = 2 cost +3 and y= 3 sin? t dx dt dy dt dy dx

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Q: Given z= 2 cost+6 and y= 5 sin t dz (i) dt dy (ii) dt dy (iii) da

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Q: For the given DE with coefticients linear in two variables, do the following: (x - 2y)dx + (2x…

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Q: at (s, t) = (0, 1) if ds z = 6x + y² tan (), x = e" – st, y = s² – f.

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Q: Given z = 8t – 18 and y= 64 sin t dy (i) da dy (ii) dx?

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Q: Given x 13 In(t) and y = 169 t2 then find %3D dy dx dy dæ?

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Q: Find the general solution for y(t) where; dy a. dt + 6t?y = 2t2 dy b. + 10y = 0 dt

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Q: b) Find fo dy for y = Vt-1 t = sec?x sint

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Q: Given z = 15 In(t) and y = 225 t² then find dy dx dy dz² ||

A: Given : y=225×t2......(1)  x=15 lnt......(2)

Q: Given x° + xy – 6x = 1 : dy by differentiating implicitly. Do not substitute for dx Га) Find Y. dy…

A: Topic :- Differential equation As per our guidelines , only one question will be answered at a time.

Q: If y = (t² + 2t + 6) (3t² + 5), dy find dt dy dt ||

A: Given function: y=t2+2t+63t2+5 We have to find dydt

Q: dy Find the (explicit) solution for the IVP = x + e*, y(0) = 2. dx

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Q: Given x = 8 In(t) and y = 64 t² then find dy %3| dx d²y %3D dx? ||

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Q: Given z = 20t +24 and y = 90t2 + 103 da (i) dt | dy (i)- dt

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Q: Find the value(s) of dy at y=1 given that x²y+y² =5. dx only only D

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Q: 2 In(t) and y=4 t2 then find %3D %3D dy dx d'y dx2

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Q: (ztan 2 +1) dx – x dy = 0

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Q: dy dz 4 + Va Find for y =

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Q: E x² t xY +y'l find the velue Ot yll at Pint where t=\

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Q: B) Find Sx e2x dx, at h = 0.2, use Simpson's 1/3 rule. J0.4

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Q: dw If w = x2 + y2 and x = at?,y = 2at find dt

A: Differentiation

Q: dy If y = (t + 6t + 5) (6t² + 6), find dt dy dt ||

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Q: For the I.V.P dy = e*+y-1, y(0) = 1 dx y(0)= 1 the value of the constant (c) of this D.E will be:

A: Given- dydx=ex+y-1 To Find- The value of constant C, if the boundary condition is y0=1.

Q: dy Given that y = In 9x, find dz dy

A: Use derivative rules to find dy/dx

Q: dz Given z = 4x? + y²,x = sin t, y = t², find - dt

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Q: Solve the homogeneous DE. 4. y? dx + x(x + y)dy = 0

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Q: . Is sin y x² dx + ydy = 0 a linear?  2. Is y' = y+x / x a homogeneous Equation?

A: We have to check whether the given differential equations are linear and homogeneous or not. A…

Q: [" In(y+z) e dxdzdy = [Show your solution.]

A: Given that,

Q: Given z = 6t 45 and y= 36 sin t %3D dy dx dy da2

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Q: dz dz 10. Compute for the following equation. and dx dy e*Y + xz? = 6xy*. *z° ||

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Q: Given y = V4x+5, find the differential dy when x = 7 and dx = 0.3. Round your answer to three…

A: Take derivative with respect to x and put the given values.

Q: e f(x, y) = x² + y²;x = t²,y = 2t, find dz with t = 2 dt

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Q: Given y = = V4x + 5, find the differential dy when.x 7 and dx = 0.3. Round your answer to three…

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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.