Solve y' = 2t-1Vy – Int +t-1; y(1) = 0 with the 4th order Runge-Kutta method (2 steps with At = 0.4), and compare with the analytical solution: y = %3D (ln t)² + In t

Q: y = V In(5x + 7)

A: In this question, we use the chain rule to find the derivative of the function .

Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(0)=0

A: Given: y''+12y'+37y=10e-4t So, we can also write as: D2+12D+37y=10e-4t The auxiliary equation is:…

Q: solve y(4)-3y'''+2y''=e3x  using undetermined coefficient

A:

Q: Solve y (e* + Inx) dx + (3 – y) dy = 0

A: The given ordinary differential equation can be written as:

Q: -0.3x(49 — х?

A:

Q: Q1: Solve ýex+y 2 = cosh x + √√cosh² x − 1 + 7e*

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Q: y y' + (2х + 3у) = 0 y(x) = ? =>

A:

Q: Solve: у" + 5у'" — 2y' - 24у — 42е 5t 2y' — 24у 3D 42e — 2, у'(0) — — 6, у'"(0) —D — 30 | | | y(t) =

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Q: dy/dx of log5(y2-y) + csc-1 (x/π) = -3y

A:

Q: Find y'. y = V In(7x + 5) y' =

A: Given the function y=ln(7x+5)         ........(1)

Q: Solve the IVP xy’+2y=0 Thank you

A:

Q: 3. у' %3D 2ху — х

A:

Q: If the solution of y' = 2(2x - y) passes through the point (0,1), determine x when y = 7.

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Q: Solve Xy"-xy' +y = a+3ln(x), y)=Q , yl)=1 %3D

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Q: Solve: y''' – 3y'" – 6y' + 8y = 0 %3D y(0) = – 6, y'(0) = - 12, y'"(0) : - 54 %3D y(t) =

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 2.1 Solve y' = 2xy. 2.2 Solve x' = 3xt² 3t², x(0) = 2.

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Q: x = y+ xe' dx

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Q: y'- Sy: x² e^ - x. 5* cs

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Q: det R have the inner Euclidian fipace product 4=(5,-1) and let X= L1,1) and Find l lyll and Kxy>…

A: Given that x=(1,1) and y=(5,-1)

Q: Solve by Integrating Factor: y' = 1+3y cotx

A: The solution is given as

Q: Find a general solution for dy/dx − (1/x^2)y = (1/x^2) , for x > 0. you must use the technique for…

A: To solve the given problem we use the  standered result of saperation of veriable.

Q: 2хуу' — 1 + у? y = 2; x = 1 %3D %3D

A:

Q: Based on historical data for population growth rates and the initial number of eagles present in a…

A: Topic-basic maths

Q: Solve y'"+ 5y' + 4y = 0, y(0) = - 8, y'(0) = 17 y(t) = %3D

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Q: y''- 4y'+ 4y=e2x ln|x| + e2xsinx Find the general solution of the equation

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Q: Solve y" – 6y' + 8y = 3e, where y(0) = 1 and y'(0) = 3. %3D

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Q: 3 2t + 3 h(t) = 6 t2 Find h'(t) *

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Q: y' = y*.x* Find a general solution. find the custom solution so that y(2) = 1.

A: We have to find General and Custom solution of given differential equation.

Q: y = + x²cosx y + x

A:

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.