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

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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: 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

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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: 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: 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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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.