X" + 4tx = 0, x(0) = - 1, x'(0) = -3 Using the Euler method with a time step of At = 0.5 approximate x(1.5) to the nearest thousandth (3 decimal places). In the answer box just put the approximation for x(1.5), nothing else. Notation. x = x(t) dx x'= dt dt?

Q: '5 f(x) = -9 evaluate the following. J2 2 Given f(x) dx = 3 and (a) f(x) dx (b) f(x) dx '3 (c) f(x)…

A: Given : ∫02fxdx = 3 and ∫25fxdx = -9   To find : (a)∫05fxdx (b)∫52fxdx (c)∫33fxdx (d)∫25-8fxdx

Q: Hello, this problem involves solving displacement and velocity given an equation... given s = f(t)…

A: We first find the distance travelled at t=0 and t=3At t=0 it was at s=0 At t=3 also it is at s=0

Q: SO f'(2x) dx. +6 Lºx xf"(x) dx.

A: The given integral expression is:∫04 f'(2x) dx

Q: It takes a total of 12 hours to drain a tank by opening a valve at the bottom. The depth h (in…

A:

Q: 3 4x Evaluate -dx. 4 2 x'-6 3 4x -dx = x* -6 4 (Round to the nearest thousandth.)

A:

Q: If f(x) = | (t³ + 5t2 + 6) dt then f'(x) = and f'"(x) = %3D %3D %3D

A:

Q: Tell whether each of the following questions is biased or fair. Why? a. What type of music do you…

A: Part(a) The correct option is option A. Because in option A has the  question does not make an…

Q: A point is moving along the graph of the given function at the rate dx/dt. Find dy/dt for the given…

A:

Q: 1/e -1/2 S 10x*-2(1-x²). exact value of dx 1/2

A: Given that

Q: 1 S(1) = fi-

A: The given function is ft=t2-1t2. The f'(t) means derivative of f(t) with respect to t.

Q: 3. Show that Z, -

A:

Q: Use the appropriate methods to integrate two of the following (state any numerical answers correct…

A:

Q: Find the given derivative. DX 5x -- Dx 5x 1/3 1/3

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.