Q3. Find dt 4x – 2 dx x² + 20 4t

Q: Solve the diff eq. (Homogenous) dy dx + x²(y² + 3) y(x³ + 1)

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Q: Find d'yldx implicitly in terms of x and y. x²y = 4x = 6 dx2

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Q: Find d2y/dx2 implicitly in terms of x and y. xy − 1 = 2x + y2

A: xy − 1 = 2x + y2 We need to find  d2y/dx2 implicitly in terms of x and y

Q: for all of dx 1- y = xvInx 2- y = 3 x(x-2) x²+1

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Q: Find for all of : dx 1- y = xvInx x(x-2) x²+1 2- y =

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Q: • t(dx/dt) = 6te2' + x(2t – 1). %3D |

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Q: find d^2y/dx^2 if y= 17/ x^3

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Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

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Q: Find ax dy x-2–1 given y = 2x3

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Q: SOLVE THE FIRST ORDER DE. (x³ + y*)dx + 8y³xdy = 0 when x = 4, y = 2

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

A: a…

Q: Q3/ Evaluate Vy +2 dy dx ba 2.x

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Q: b. (3xy3 + 4y)dx + (3x?y² + 2x)dy = 0; when x = 1, y = 1

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Q: Q4. Evaluate : O (xy²) dx dy -√1-(x-1)²

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Q: Q4 Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) %3D x²+1

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Q: D. Compute in terms of x and y. dx

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Q: Find dy. Y= 6x/1+x2

A: Use quotient rule to calculate derivative of y that is dy.

Q: =Q3: if f(x)= xy+2x-5y =2 then dy/dx *

A: f(x)= xy+2x-5y =2 then dy/dx

Q: calculate  d^2y/dx^2 for y=e^7-2x + 12

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Q: If y=f(8x²) and f'(8)= -3, find dy dx |x=1

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Q: If y = 3x+2/x-2, evaluate dx/dy when x = 1

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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: (2x – 3y) dx + (2y – 3x) dy

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Q: Q2: Find for the following functions: - dx 1) y = Vx + 8z – 2x X, -

A: Explanation and solutions is given below....

Q: find dy. y = 2x/1 + x2

A: The given function is y=2x1+x2

Q: 3 メ=3tL 2. dt 2. dyt d x

A: x and y are function of t we have to find out the first derivative and second derivative for the…

Q: dx -3 +2x dt = 2 is

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Q: Determine the solution of 2x (y+1)dx−ydy=0

A: Determine the solution of 2x (y+1)dx−ydy=0

Q: find dy/dt. y = 3t (2t2 - 5)4

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Q: dy Find for all of : dx 1- y = xvInx 2- y = 3 x(x-2) x2+1

A: See the details solution in below

Q: Evaluate [ T 1-x² x² + y² dydx.

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Q: Evaluate

A: Using fundamental theorem of calculus, to find the derivative of definite integral, one need to plug…

Q: 2. ydx + (3x – xy + 2)dy = 0

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Q: find d^2y/dx^2 for y^2 + 2y=2x+1

A: Consider the function,

Q: dy = 6 3y – x- dx

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Q: 2dy+ydx=y3(x-1)dx (Bernoulli)

A: We have to find the general solution of differential equations

Q: Find dy dx 4. y = xln(5x-2)

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Q: Find dydt at x=3 if y=4x^2−4 and dxdt=3

A: Given  Differentiating with respect to x, we get

Q: d. Evaluate dx dt (t2 +2t) -1

A: We use the Leibnitz rule of differentiation under integral sign to solve the given problem.

Q: df Find and dx of dy 2 2 f(x,y) = /3x +4y?

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Q: Q2: Find for (x+y) +(x- y) x +y* %3D dx

A: Derivative wrt x

Q: d V3i dt = dx x²

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Q: Find d'y/dx2 implicitly in terms of x and y. x²y – 4x = 5 d²y dx „2 II

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Q: dxp. 2 25* * 50 dt |dx, dt 2 25 * - 25 *:

A: dx1dt=-225x1+150x2dx2dt=225x1-225x2s.t. x1(0)=25, x2(0)=0 We have to solve the above system for x1…

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

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Q: 2 x2 y/x dydX e

A: To evaluate the given double integral.

Q: d^2x/dt^2+4dx/dt+4x=7    ;[x(0)=x'(0)=0]

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Q: „5V7/2 V 25 – x2 xy dy dx + xy dy dx dr de = Jo

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Q: Q3: if f(x)= xy+2x-5y =2 then * =dy/dx

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Q: dy Find 2 of 4x'y – x² + 2y = 9x dx

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