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Q: sin² sin'x =-COSr 2. 0, 2.

A: To solve for x , where x should lie in the interval  [0,π/2]

Q: Solve the system -18 21 da dt -14 17 with the initial value 10 æ (0) ||

A:

Q: The area A is the region bounded by the curves x² = 5y, y² = 5x and x e E [0,5] (a) Calculate the…

A: we have to find area and volume

Q: +4 2x. value Of X?

A:

Q: sin x – e-* = 0, [0,1]

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Topic: Subtitution Suggested  by the equation 1. (2e^(2y) - x)dx = 2e^(2y)(e^(2y)+ 2x)dy

A:

Q: y = () Зx2-2 х+3

A: I am using the chain rule to find the first order derivative of the given equation

Q: 18. Suppose that we were to approximate f (1) = cos æ using the 3rd degree Taylor polynomial T3(x) =…

A: Given suppose that we were approximated f(x) cos(x) using the 3rd degree Taylor polynomial T3x…

Q: Simplify d/dx(x^2 dy/dx)

A: To simplify the given expression.

Q: Solution for common ode y''-16y=9.6 e^4x+30e^x

A: Given differential equation y"-16y=9.6 e4x +30 ex

Q: -2 . -2 -3 メ-

A: dxndx = n.xn-1

Q: Give 1 problem application of differential

A: We have to explain a real life example of differential equation.

Q: Solve this differenttial equation  (X^2.e^(-y/x) +y^2).dx=xy.dy

A: To find the solution of 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.