(1) y'(t) = 1- sint – , y(t)dt, y(0) = 0 %3D

Q: 2 Find dy/ dx: (a) 4y² – 5xy + 4x =10 5х-10 (b) y = 2 x* + 5

A:

Q: h(x) = (V-7) sin(z), W(x) = %3D %3D e.

A: We write the h(x) using exponents.

Q: find dy/dx

A: Step 1: Given x(t)=t3, y(t)=t2+t. We have to find dy/dx. Step 2: The given two functions are…

Q: second derivatives of f(x.y) = (x+y) e.

A:

Q: Determine the following value: F20 + F30 1. 2. F34 3. F67

A:

Q: (B)(10M) Evaluate (y(x)) dx y(x) = cot (csc(sec(In x))) %3D

A: derivative

Q: A curve y = f(x) have length of the curve from x = 0 to x = 1/2. dy Vcos(2x – 2) as its first…

A: We have to find

Q: Find an implicit general solution for the ODE dy/dx = [2(2y−x)] / (x+y)

A:

Q: y(x) =x' (2x – r²)

A:

Q: Tom wants to invest $500. He invests in a company that predicts his investment will double in value…

A: Initial investment is $500 and the money gets doubled in 3 years.

Q: (ii) y = e2x cos(1+2x²) (1+2x²)

A: y=e2xcos1+2x21+2x2

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: 2. Find dy/dx: a. 3x? – (xy²)½ = 2y³ b. у%3D (сosx — ях)4x*

A:

Q: Find dx 2n S sin (P) at (?)dt y=

A:

Q: G(z) = tant d Find G(1) = %3D Find G'() =

A: Given that: G(x)=∫1xtant.dt

Q: Solve dy/dx =(4x+y+1)2,If y(0)=1

A: dydx=4x+y+12 Now let, 4x+y+1=t Differentiating with respect to x, we get 41+dydx+0=dtdx⇒dydx=dtdx-4…

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.