In Exercises, solve for y in terms of t or x, as appropriate.49. ln y = 2t + 4 50. ln y = -t + 5

Q: B. ty" – (t+ 1)y' +y = t?

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Q: What is the soution to this equation?

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 1600 – 0.005x2 - 0.01y?,…

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Q: Solve fractional equation. スx いlo 2x+5 4x+10 2x 11 2xf5 4Xナ10 スx スx+5 スx ef ス×+5 スr+5 why does…

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Q: 16-x2 dx

A: Given: I=∫16-x2xdx for evaluating given integral, we substitute x=4sinθ…

Q: In Exercises, solve for y.17. ln (y - 1) = x + ln y 18. ln (10 ln y) = ln 5x

A: Consider 17. lny − 1=x+lny 18. ln10lny=ln5x

Q: Which constant c would best be described as a constant of integration? c +1 Secx=a

A: The indefinite integral always results a constant of integration.

Q: Use Variation of Parameters to solve the DE y′′ − 4y = e^(2x)/x

A: Y" -4y =0 D2 -4 =0 D =2,-2 Y = c1e2x + c2e-2x Now find  W = (e2xe-2x2e2x-2e-2x|…

Q: H-wlo Find the dliscontinnity point of &cz):

A: Since you have posted multiple questions. I am answering the first one. Please post the question…

Q: (answer three only) In(x² +x)-tnx-enx 3-5- In(e1) dx

A: 3. We need to solve, ∫lnx2+x-lnx-elnxlnex+1

Q: Solve the differential equetion (x²y²Jdy=2xydx -

A: Consider the provided D.E,

Q: 2) The number of cells in a bacterial culture increases rapidly but then levels off. The amount is…

A: This question is about application of derivative.

Q: I Solve the differential eauations 4. (D7D+19D+13)y =0 when x-0, y=0, y'=2, y"= -12, find y()

A: Given differential equation is D3+7D2+19D+13y=0 and given when x=0, y=0, y'=2, y''=−12 that is y0=0,…

Q: 6. If Jo(2x* +x-a)) dx = 24, find the value of a constant.

A: ∫0262x2+x-a dx=24

Q: MY NOTES In the aftermath of a car accident, it is concluded that one driver slowed to a halt in 19…

A: Given Time t=19sec Distance=1700ft Speed=60mph

Q: 2. Obtain the general solution using Bernoulli's equation. Simplify your final answer. + x dx - –…

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

Q: Solve the Bernoulli equation. 3xy' + y = y¯8 x>

A: We have to solve

Q: solve the equation by using Bernoulli's equations. y' + p(x)y = f(x) y ln y

A: Y’ +p(x)y =f(x)ylny divide equation with y both side we get y’ /y +p(x) = f(x) lny now consider lny…

Q: use Euler me thod to solve y's 3x²+J h=0.25

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Q: In Exercises , solve for y.15. 9e^2y = x2 16. 3^y = 3 ln x

A: The given function is the exponential function, and hence, the exponential function properties help…

Q: Solve using variation of parameters y" – y = e2=

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Q: y y'+y? x +1

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 4. Find the general solution to the equation via the variation of parameters y" + 9y = tan(3t)

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Q: The solution of D.E " -y = 5(t – 1) ,y(0) = 0,y'(0) = 0

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Q: solve the given initial value problem. Describe the behavior of the solution as t → ∞.…

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Q: 5. e²y$/1- e' dy

A: Solve the integration

Q: Q2. Test for exactness and solve (4x³y3- 2xy)dx + (3x*y² – x2) dy = 0

A: Topic- solution of differential equations in exact form . Note:- as per our guideline more than one…

Q: Using differentials, solve for the approximate value of |(7.02)3 – (2.97)5 t: Let z = Vx3 – y5 and…

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Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

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Q: #3 Test the exactness and solve the equation. (2xy 3x²)dx + (x² + y)dy = 0

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Q: Qi Appsy substitution method and solve 2n +5 dn. x² + 4X +5

A: Given,

Q: Q2/A/<he di fferential equation is yedx +3xay+dx +dyno diff erential when fineling the solution to a…

A: To find: The solution of differential equation y2dx+3x2y2dx+dy=0 and also find the constant (c) at a…

Q: dv Solve ax + by + c dx

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Q: solve the given difference equation in terms of the initial value y0. Describe the behavior of the…

A: Given differential equation is, yn+1=-0.9yn

Q: (c) Test for exactness and solve the IVP, critically outline the particular solution (x + 5e*y)dx =…

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Q: g(x) = "In(5 + t?) dt Ji

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Q: Solve this equation y"+ 2y + 2y = e-t where y(0) = 0 and y'(0) = 0? %3D

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Q: B- Solve the D.E.: y--e* = 0, y(1)=1 .

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Q: solve the given initial value problem. Describe the behavior of the solution as t → ∞.…

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Q: Pse Variation of Parameters to solve the DE y" – 4y

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Q: The velocity of a particle moving on a straight line is given by v(t) = t^2e^-t meters per second at…

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Q: y = In(x + 3)4

A: As u mentioned to solve 2nd equation, the solution of the same is attached in next step.

Q: Solve 2xy ly

A: We have to find

Q: Use the method of separation of variables to solve the heat conduction equ д?и 1 ди k > > 0

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Q: 2х dx e2x

A: We have to solve the integral

Q: (3r+7) Solve for x if 4. %3D (Round your answer to two decimal places) /5

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Q: E Solve the following equation for x. y 4 In(e+7) %3D

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Q: dy Solve: (e +e-²)- = y? (separation of variables) dx

A: We want to solve the given differential equation.

Q: 4. In a strange alternate universe, pressure P, volume V, and temperature T are linked by the…

A: This question is about application of derivative and differential equation

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.