Convert the equation f(t) = 242e0.02t to the form f(t) = ab' %3D %3D a = Preview b = Preview Give answers accurate to three decimal places

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. x 2−x−2=2y 2−2y

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

Q: e) = f

A: NOTE: Refresh your page if you can't see any equations. . divide both sides by (d-e)

Q: If dy = x² dx, find the equation of the curve that passes through the point (1, 1). 2y + x³ + 2 = 0…

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Q: what is the general equation to the equation dy dx² dx

A: Here we have to find the general solution of the given differential equation,…

Q: Find the equation of the curve that passes througH dy 5x 7. dx నా

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Q: (b) d etan(5x) dx (e) dy y = xln(x) (c) dx lx=1 750 étv

A: Derivative wrt x

Q: Find the equation normal to x² + 3xy + y3 = 15 at x = 1. %3D

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Q: Differentiate the function y = e0.4t. dy dt

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Q: 2x= y+e *t %3D 3y eSt

A: In these questions, we have to find the determinant for the system of the differential equations.…

Q: (a) 2y -3 dx

A: Since you have posted multiple and lengthy questions in this question which are not interlinked so I…

Q: Find dy/dx for the equation: y= (e2x+1)/(1-2x)2

A: The given equation is,

Q: 2e2x -1 Let y = %3D et dy Find dx

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Q: solve by Bernoulli's Equation y(6y2 – x - 1) dx + 2 x dy = 0

A: Given differential equation is  y(6y2-x-1) dx + 2x dy=0 ⇒            2x dy = - y(6y2-x-1) dx…

Q: Show that y=xe-x satisfies the equation dy/dx +y=e-x

A: We find dy/dx using product rule

Q: dx 1-

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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: L V9 – x² dx

A: Given,          ∫039-x2dx

Q: Give a geometrical explanation of why

A: Consider the given integration as ∫aafxdx=0

Q: Solve for the value of C in the equation: dy – (y + xy³)dx = 0 when y(0) = 1

A: The given differential equation dy-y+xy5dx=0dydx=y+xy5dydx-y=xy5 It is first-order Bernoulli's…

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 the general solution of the equation тx dy %3D пу dx

A: see calculation below

Q: dx 1-t+ x-tx dt

A: Given, dxdt=1-t+x-tx The equation is separable. Write it in differential form and integrate both…

Q: Find the first and second derivatives. -3 y = 5x - 11x -8x dy dx d°y dx? %3D

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Q: Solve the differcential equation dy = xy - x, given that y = 2 when x = 0, expressing y in terms of…

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Q: 7) I = fx v-4 dx

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

Q: Solve the equation 3(y+1)dx-(x+y +3)dy =0.

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Q: dy/dx equals (xy + y^2 + x^2)/(x^2)   Considering y is a function of x, determine the solution of…

A: We need to find the solution of the above given differential equation.

Q: Find dy/dx, where y is defined as a function of x implicitly by the equation below. −x 4− 5y4 =11

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

Q: Solve the equation 3(y+1)dx-(x+ y +3)dy =0.

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Q: 3 I= |(e* +x² + A\dx Дх 3D0, 25 1

A: Solve the following

Q: Solve for the general solution * (eУ — усos ху) dx + (2xe-У — х соs ху +2у) dy %3D0

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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: xy dy + (x^2+y^2) dx=0

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Q: Solve using Bernoulli's Equation 1. x^2(dy/dx)+y^2=xy

A: We have to solve the given equation

Q: Separate the equation y' + ty = t. Ody + ()dt = 0

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Q: 1 dy 3 x*y3 y 4 dx

A: Given that    dy/dx -(3/x)y = x4y1/3  Here we have to solve the given differential equation.

Q: dy (t²+2t-1) 5. y = dt t3+3

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Q: Assuming that y is defined implicitly by the equation a2 – y² = 61, the derivative dy at - dx (2,…

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Q: 7) I = jx v-4 dx dx 8) I= J+ 12

A: Note: as per our experts guidelines we should have solve only 1 question so please repost and…

Q: Evaluate dy/dx from the equation 3xy^2 + 4(y/x) - (y-5)/(2x^2 - 1) = 11 when x = 1.

A: Given equation,  3xy2+4yx-y-52x2-1=11 Differentiate with respect to x

Q: The value of C in the equation: dV/dt= -500(t+1)^-2, when V=700 and t=0 is?

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Q: Use the method of Green's function to solve y" + y = sint, y(0) = 1, y'(0) = -1.

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Q: Solve for the DE equation associated by the given function: у %3D Ае2* + Ве* + С. а.

A: the given solution of differential equation isy=Ae2x+Bex+C

Q: y is inversely proportional to Vx y = 4 when x= 9 Work out an equation connecting y and x.

A: We have to write an equation connecting y and x for the given conditions: y is inversely…

Q: Solve the equation 3(y+1)dx-(x+y+3)dy =0.

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Q: Solve xy( 1 + x y? ) = 1 by using Bernoulli's equation. %3D dx

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Q: Solve the (1+) d x = (b an y -x) dy

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Q: equation in just x and y dx at t = T/3.

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: - L e*y dx dy dz 't

A: To solve the triple integral with four decimal places.

Q: dy Find the equation of the solution to dx x°y through the point (x, y) = (1, 2).

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