Given z = 14 In(t) and y= 196 t then find dy %3D dx dy ||

Q: Find the general solution for (y + 1) dx + (4x - y)dy = 0

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Q: dy x +1 xy %3D dx

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Q: Please show all work

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Q: The approximation of I = xe" dx using Simple Simpson's rule is:

A: According to the fundamental theorem of calculus ∫abf(x)dx=F(b)-F(a), where dFdx=f(x). Simpson's…

Q: dy Find the General and Particular solution of dx 3y; y=3, when x=0

A: The differential equation is given as dydx = 3ydyy = 3dx∫dyy = 3∫dxlny = 3x+lnAlny-lnA = 3xlnyA =…

Q: Given x = 2 In(t) and y= 4 t then find dy dx dy da?

A: Given, x = 2 ln t  &   y =  4t2

Q: M-2-Sin(X y) nd dm dt X = t. yclint Z=et-1

A: Differentiation

Q: dy =, with initial condition y(0) =2 is dx y The solution of %3D

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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: Find P.I of the given d'y 5. +6y ex dx sdy dx?

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Q: Solve for the given DE: y(y^3-x)dx+x(y^3+x)dy=0

A: first we will check this is exact or not this is not exact then we will find its integrating factor…

Q: 6) Find dy given e 3y = y2 + x. opr dx

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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 dy/dx for xy − ey = 2.

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

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Q: Given z = 3 In(t) and y = 9t then find dy dx dy dx2 |3|

A: givenx=3lnt,y=9t2

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 y- dx ay

A: on solving this we get the

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

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Q: (b) Given that y(6x +1) e** = 1+ - In dy Find when x 0 and y=1. dx

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Q: If Y= e(sin x) dt apoint X = 2 then dy/dx

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Q: dy ey-x sec y (1 + x²) У (0) 3 0 dx ||

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Q: Given x = 2 cos t + 8 and y= 4 sint dx (i) dt dy (ii) dt dy (iii) dx ||

A: Givenx=2cost+8y=4sin2t

Q: d'y 10ay+25y = 0. dx? 1. Find the general solution for dx

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Q: Solve the D.E [Y(1+1/x)+cosy]dx+[x+lnx-xsiny]dy=0

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Q: dy Find for y = /12+13t dt. dv

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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: Solve the equation dy/dx=1-y , given y(0)=0 using modified Euler’s method and find y at x=0.1 and…

A: Given differential equation is, dydx=1-y, y(0)=0. To find the solve the differential equation using…

Q: -If x= cot- VE, y = ;, find dy dx'dx2 at t = 2.

A: We will use the formula (f(g(x))' = f'(g(x))g'(x)uv' = vu'-uv'v2 Given x = cot-1ty = 1t+1 Then dxdt…

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

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Q: (4 + e² ë*) dx + (1 +et) dy.so *) dy so A Scanned with

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Q: dy dx || X x² + 100

A: We have given differential equation  dydx=xx2+100 dy=xx2+100dx Integrating both sides…

Q: Find the general solution of the DE dy/dx = y(x – y) / x^2

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Q: dy _ 2y = x-'y¯1 y(1)= 3 dx

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Q: Zy dx = (x?-1)L dx-dy) %3D

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Q: The general solution to the DE + Py =0 is dx

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

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Q: Find dy of the expression (xy)* = e %3D dx

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Q: The integrating factor of the DE (x^2 + y^2 + 1) dx + x(x - 2y) dy = 0 is

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation +y)=3x<y becomes dx dz 1 A…

A: Topic  =Differential equation Correct option  = A

Q: dy %3D 3 e*y* dx +

A: Givendydx+y3=exy4To Find:Solution of a given Bernoulli's equation

Q: dy 1+y3 Determine the solution for the given DE: + = 0 dx xy?(1+x²)

A: Proceed as shown below

Q: d*y 2) Obtain a particular solution for d²y dy + dx + y = x3 + 2x +1 dx4 dx?

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Q: When reduced to a linear DE of order one in z, the Bernoulli's equation dy +y dx = 3x?y? becomes dz…

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Q: Show P(x) dx\ dx yp(x) = e-/ P(s) dx / (2(w)e/ P©)d« ) dx Q(x). is a articular solution of dy/dx +…

A: We have given a first-order differential equation;

Q: (y In y e") dx + +x In y dy = 0

A: The given differential  equation is of the form Mdx+Ndy=0. Identify the functions M(x,y) and N(x,y),…

Q: Find the general solution to the following DE. y +x² dy = 0 dx

A: Given DE, y2+x2dydx=0

Q: Ql find dy 2メ for y= cos ( Inx + e %3D dx

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.