Find a slope of the solution of y' = t – y at (3,1).

Q: Find the differential dy of the given function. y = V3- x² dy

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Q: Find the differential d4y of the function y=x5.

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Q: Compute the indicated derivative using the chain rule. dy x = 1 – t/3, y = 8t – 1; dy %3D

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Q: Find the differential of the function w=x^5sin⁡(y^5z^4) dw=  dx+  dy+  dz

A: Differential of a function is simply the derivative of a function. Also, d(uv) = u.dv + du.v

Q: Use the Euler method with dx = 0.5 to estimate y(5) if y' = y2/√x and y(1) = -1.  What is the exact…

A: In the given question, it is asked to solve a differential equation using Euler’s method.

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x2 – 3 dy =

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Q: Find the differential dy of the given function. y = V4 - x2 dy =

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Q: Determine the differential of the function y=x3−3x2+4x at the point x0=1 when dx=0,1.

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Q: Let y = 4x2 + 4x + 3. Find the differential dy when x = 1 and dx 0.4 %3D Find the differential dy…

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Q: Find the differential dy. y = 5x2 / x-9       dy =

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Q: Find the differential of the function y=√x3+4x at x=2.

A: Given the function:

Q: Find differential of the function y= (r + 3)*

A: The given function is                                 y=x2+33

Q: Calculate the differential of the function y=x5−7x3+5x at the point x=2 when dx=0,2.

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Q: Find the general solution for -x) dx - (-y) dy dy = 0

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Q: Use the differential dy to approximate Ay when x changes from x = -3 tox = -2.99. y = x2 + 1 Enter…

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Q: If f(x, y) = 3x² – 7y, then the total differential of ƒ at x = 1 and y = -2 is :

A: we need to find the total differential of the function  f(x,y) = 3x2 - 7y2 the total differential,…

Q: Find the differential d4y of the function y=x4.

A: Given function is

Q: Calculate the differential of the function y=2x x2−3 at the point x=3 when dx=−315.

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Q: dy -X+Y

A: The solution to a linear differential equation of the form dydx+Py=Q, where P and Q are functions of…

Q: Find the differential d3y of the function y=xsinhx.

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Q: If y = 4x³ + 2x² + 11, find the approximate value of y when x = 2.01, using differentials.

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Q: Find the differential dy. x + 3 4x - 1 dy =

A: y=x+34x-1

Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 7x2 − 3 dy =

A: Given y=7x2-3 Differentiating both sides: dy=14xdx

Q: Find the differential dy of the glven function. (Use "dx" for dx.) 7 y = 3Vx + dy =

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = 8Vx + dy

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Q: Find the differential of the function z=2x'y %3D

A: If z is a function of two variables defined by z=f(x,y) then the differential dz or total…

Q: Find the differential dz of the function f(x, y) = 4y² + x²y-2xy and use it to approximate Az at…

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Q: Compute the differential dz of the function. z = x*y" ,7,,11 dz

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Q: Find the differential of the function. u = 2x +

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Q: Find an equation of the line tangent to graph of y =x2 + sin (Ex) at x=-1. A. 2x - y+2 = 0 B. 2x +…

A: To find the equation of tangent line of the given graph.

Q: dy Y = y° dx 'x

A: As per guidelines,we will solve only first question.

Q: xydx – (x² + 2y²)dy = 0 ||

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Q: Find the differential dy. y = cubic root of 3x^2

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Q: Find the equation of the two lines that are tangent to the curve x 2 + 4y 2 − 4x − 8y + 3 = 0 at…

A: Given

Q: Determine the integrating factor in the equation y(8x – 9y)dx + 2x(x – 3y)dy = 0 using the method of…

A: The given differential equation is  y8x-9ydx+2xx-3ydy=0 is of the form y f1x,y dx+x f2x,y dy=0. If…

Q: Find the differential of y=x^4-2x^2

A: Given query is to find the differential of the expression.

Q: Obtain the solution using Integrating Factors Found by Formulas. xydx - (x² + 2y²)dy = 0

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Q: Find the differential dy of the given function. y = V4 - x2 dy

A: Consider the given function. The problem requires to find the differential dy of the given…

Q: A heat-seeking particle is located at the point (2, 3) on a flat metal plate whose temperature at a…

A: A heat-seeking particle is located at the point 2,3 on a flat metal plate whose temperature at a…

Q: Hello! Can you help me with this calculus problem?

A: Write y using exponent Then differentiate both sides. Use power rule and chain rule on the right…

Q: Find the solution of the differential equatlor dy 3xeY, y(0) = 0 dx %3D

A: Consider the equation

Q: The integrating factor of the equation (2 + y + x) dx + xydy = 0 is

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Q: Find the differential of the function y = In(S - 2x) 2dx dy = (5-2x) dy = (5 – 2x )dx -2 (5-2x)dx…

A: Given : The function y = ln(s - 2x).   To find the differential of the function y = ln(s - 2x).

Q: Find the differential dy. x + 2 y = 9x - 1 dy =

A: In this question we have to find we have differentiation of y.

Q: Find the partial derivative. z = sin(10x°y + 11xy)

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Q: Find the general solution of the equation dy + (tan t) y = cost dt

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Q: Find the differential dy of the given function. y = √(9 − x2)

A: The given function is Now, find the derivative of the function

Q: Find the differential dy for the function y=3sin(2x)+x.

A: We have to find dy for the function y=3sin(2x)+x.

Q: Find the integrating factor of (x² - y²)dx + (x² - 2xy)dy = 0

A: Given  (x2-y2)dx+(x2-2xy)dy=0

Q: Find the differential dy. y =  x + 8 7x − 1

A: Assuming that y is given as: