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

Q: Ex. Find the general solution to dy 1 -2.x dx X -

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Q: d*y Obtain a particular solution for dx+ d²y *+y = x3 + 2x + 1 dx² dx + +

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Q: a. By differentiating x2 - y2 = 1 implicitly, show that dy/dx = x/y. b. Then show that d2y/dx2 =…

A: The given equation is

Q: If ( 1 + x²)(1 + y²) - px² = 0, where p is a constant, show that xy ( 1 + x²)dy/dx = ( 1 + y²).

A: Given: To Find:

Q: If x=t² - 5t and y=1-61² , then dy at t =1 is dx Oa. 4 O b. -1 - 4 d. 4

A: We need to find parametric differentiation

Q: If y = (1-x)-3 V1+2x, find dy/dx

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Q: Find dy/dx in terms of t if x = t – t°, y = 2 + 9t

A: Given, Now differentiate with respect to t we get, dxdt=1-3t2dydt=9

Q: d²y Find particular solution for + 4 + 4y = 3xe dx dx

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Q: Q2: If y=t? and x=3t-1 find dy/dx

A: y=t2, x=3t-1Formuladduun= n un-1

Q: Find dy/dx and d²y/dx2 for r = t2 +t +1 and y = t2 + 2t - 1.

A: given that x=t2+t+1 and y=t2+2t-1 we have to find dydx and d2ydx2 Now,          dydx=dydtdxdt…

Q: dy is dy xy dx dx The general solution of y² + x² "

A: Solution is given below:

Q: Find dy/dx If y ex A 2/א"e ],/איe D-2V B.

A: We have to find dy/dx.

Q: If y=x^2 e^2x then dy/dx is equal to

A: we have,y=x2e2xdifferentiating both the sides w.r.t. xusing product rule,we…

Q: If x =t-1+5 and y 6+t-2 then dy at t = dx is

A: topic - derivatives answer is 4

Q: Find the solution of dy 2x- +y =x is dx

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Q: If x = t - t3 and y = t2 – t4, the value of at t = 2 is dy dx

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Q: Obtain the general solution. d²y e* 1. dx? dy 2 +y= dx x² +1

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Q: : x d²y dy dx² dx + +my = 0, given that

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Q: Obtain the general solution to the equation. dy 1. y + 2x + 1 dx

A: Given that: dydx=yx+2x+1

Q: SíS(x² + y²) dx dy 0.

A: To evaluate the given iterated integral.

Q: 1² + 3x + 4 If t = (r² – 1) what is dt/dx?

A: We have to find derivative

Q: хе*+2 y = e2x+1

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Q: If x2+y2-2axy=1  then find (dy/dx)

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Q: find dy/dx if x=(t2-2t+1)e3t and y=(t2+4t+4)e3t

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Q: Find dy/dx of the given function. y = e 2x In x

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Q: Find the complete solution of the following. dy =  ( 2x3 + 4x ) dx         ;         x = 1 when y =…

A: From the given differential equation: dy=2x3+4xdx Now integrate on the both sides. ∫dy=∫2x3+4xdx So,…

Q: Q2 Find (d y/d x)& (dy/dx²) ex = 1/ cosxy

A: Given: eyx=1cos xy ⇒eyx(cos xy)=1 ----(1) Differentiate equation (1) w.r.t "x" ddxeyx(cos xy)=ddx(1)…

Q: Find dy dx x = 4 + ² If y=1-t² and x=

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Q: If x =t-1+5 and y=6+t2 then dy at t dx = 15

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Q: dy dy = xy + 3x – 3x dx dx

A: The given differential equation is: dydx-x2dydx=xy+3x-3x3Therefore:dydx=xy+3x1-x21-x2

Q: If x=t - 3t and y=1-21² , then dy at t=1 is dx a. – 4 b. -1 4 O C4 d. 1 | 4

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Q: If 3x² + 2xy + y² = 2, then the value of dy/dx at x = 1 is

A: Given that        3x2+2xy+y2= 2 We have to find the value of dy/dx at x=1.

Q: f x = 3/t and y = (2t + 1)/4, find (dy)/(dx)

A: Concept - derivative of x and y with respect to  and then divided.

Q: Find (dy/dx) x = 9/t, y = t1/2e-t

A: To find the derivative of given functions.

Q: Find dy/dx and d²y/dx2. x = e*, y = te-t

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Q: Solve : (x-ay)dx = (ax – y )dy

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Q: If y = In dy then dx 10 10 20 et - E) eT – 10 A) x – B) eT D) 0 eT – 10 10 — еT Of –

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Q: Find a particular solution: (x2 + 6y2) dx – 4xy dy = 0, when x = 1, y = 1

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Q: 4xy dx + 2x²° dy + loy - dx + 15 x y dy=0 t

A: given equation 4x2y dx+2x3dy+10y-dx+15xy dy=0 claim- Find non- exact or first order linear DE

Q: Find dy If y=1-t and x2 dx

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Q: Find dy dx dy d.x = if 3y³t + t³y = 4 and d.t dx = 1 cos t

A: Given

Q: find d^2y/dx^2 implicitly in terms of y and x  2y^3=3x^4

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Q: Find the general solution for dy dy +2 + 4y = dr dx? e2= (1+ x²)

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

Q: Find dy/dx and d 2y/dx2 if x = 1 + t 2 and y = tln t.

A: Given: x=1+t2y=t ln t   Chain rule for derivative: ddxf(g(x)=f'(g(x)).g'(x) Product rule for…

Q: 3.) S, t°(1+ t*y°dt 4.) (x²-5x)e*dx 5.) S(4x²-7)dx/2x+3

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Q: If y=u³ and u = 4x² - 2x + 5, give dy dx

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Q: find the general solution for: x^2*d^2y/dx^2 + x*dy/dx -y=0

A: SolutionGiven    x2d2ydx2+ xdydx - y = 0Gind the general solution of the given differential equation…

Q: dy Find the general solution of (x² + 4). = xy. dx

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