dy Solve the initial – value problem: = y² given that f(0) = -1 dx %3D

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. y2 −3x3y4 =1

A: We have to find  dy/dx of curve equation  (implicitly).Curve equation is given by:

Q: a. Solve = y(1 -1). dy dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Solve the D.E. (x +3y )dx- 2xy dy = 0

A: Find your answer below

Q: S16 -X2 メー dy dx + x?+yz

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Q: Find dy/dx.x = 2/ty = √te-t

A: We find dx/dt using exponent rule.

Q: dy Find the solution of 2ху + dx X. 2у-1

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Q: dy Find for dx 2. y = x(e*) = x(e*)

A: Given: y=xex   ....(1)   As we know that; The Product rule; f·g'=f'·g+f·g' And ddxlnx=1xddxex=ex

Q: Solve J. e-t sint dt. 0,

A: Introduction: The Laplace transformation is very useful in determining the integral. The Laplace…

Q: Solve it by linear D.E dy+2/x y.dx=4x.dx

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Q: dy solve for dx y = (x - 4 tan x)3,

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Q: Solve the given VSDE dy/x − y (dx/x^2) = 0

A: Solution: As per given data,  dy/x − y (dx/x^2) = 0 we solve by variable separable method In that…

Q: T rsinx S"Stnx y dy dx 2 dx dy

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Q: dy Given that y = x² log2(6 – 5x), find dx

A: This question can be solved using product rule of derivative.

Q: Q2. Find of y = 4x/x + Vx at x = 1 ? dx

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Q: Obtain the general solution to the equation. 5. dx + (x – v²)dv = 0

A: Given that: dx+(x-y2)dy=0

Q: dy Find of the following function: dx (x² + 1)° e-2+

A: The derivative is calculated as follows:

Q: d’y dy Solve -+3y=e dx dx

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Q: Q2. Find 2 of y = 4x/x + Vx at x 1? dx

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Q: Qz Solve the ordinary differental equation ye dy dx with y(U=2

A: To find the solution of a given ordinary differential equation first we will separate the variables.…

Q: dy 10. y-x dx dx

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Q: What is the value of dy/dx at x = 4 of the function? x-5 y = 2x+1

A: Given                     y=x-52x+13 we know that…

Q: Find​ dy/dx by differentiating implicitly. When​ applicable, express the result in terms of x and y.…

A: Given : 5x+7y=3

Q: Q3/ B: Classify then solve d'y dy (x + 1)? + 3e* dx dx

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Q: e + d'x 2 dx dt + 5x = 8et when t-o, x -0 = 8

A: Please find the detailed solution in below images

Q: Q1: Find dy/dx of the following functions: 1. x?e? y = log2 2Vx+1,

A: Disclaimer: Since you have posted multiple questions, we will be answering only first question for…

Q: Find dy by dx when y is equal to 3x³-12x²+7x-19 divided by 4x

A: To find dydx when y=3x3-12x2+7x-194x. Solution: Power rule of differentiation states that:…

Q: for

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Q: dy Find for dx 5) y = sec-(2e3x)

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Q: For y = 5x2 + 10x – 3, find dy at x = 2 if dx 0.1. -

A: The given function is  y=5x2+10x-3

Q: dy Find dx implicitly e +x²-y² = (

A: Sorry student as per our guidelines we have to answer only first question of multiple questions are…

Q: Solve dy / dx = 1 /( x^2 – 1) , for y(0)

A: Given,                        dydx=1x2-1;         y(0)=0

Q: dy/dx of y=e^3x+1

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Q: dy y = x3 e2. Show that dx 1. Consider. (3x2 + 2x4)eʻ and then find the second dy derivative dz2

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Q: dx 6) I = v9-

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: Solve the D.E dy -(2x /1-y2)dx = 0

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Q: d'y If x=a (t-sint),y=a(1+cost) Find dx?

A: Given    x = a(t - sint),  y = a(1+cost) Firstly dy/dt and dx/dt will be calculated

Q: Solve  (dy/dx) = (y/x)

A: By  variable -separable  method  we separate the variable

Q: dy Solve = y(xy' -1). dx

A: Given dydx = y(xy3-1)dydx = xy4-ydydx+y = xy41y4dydx + 1y3 = x…

Q: Find the solution of the D.E. below: 2(2x + y)dx – xydy = 0

A: If a function f(x,y), satisfy the condition f(kx,ky)=knf(x,y), then it is called a homogenous…

Q: Solve for dy when y = + 3x, x=2 and dx =0.5

A: The given problem is related to total differentiation.

Q: dy Find and simplify as possible: e*y + In xy = 3 dx

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Q: Find the dy/dx: Given e(x²-1) y =

A: Solution is done in step 2

Q: Solve dy/dx=(x+y)2

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Q: dy Given that y = x² log2(7 – 6x), find dx dy dx

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Q: dy Solve dx x+ y and find the particular solution when y(1) = 1

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Determine whether dx = y - x* has a unique solution, for which y(0) = 7

A: To determine: The differential equation dydx=y4-x4 has a unique solution for which y0=7. Concept…

Q: Find the general solution, using separation of variables: dy dx

A: The given differential equation is  dydx=e-y-x

Q: x sin x dx = log y dy %3D

A: Let's find.

Q: dy Solve dx + 4 subject to the initial condition y(0) = 0. II

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