N 57 (t) How can I help you? w that u (x, t) s a solution to the parti vative equation utuxx=uxutx [ 7 8 9. In -10 4 6. log log 1 DC %3D U(x,t)=cos(x+cos

Q: Find dy/dx by implicit differentiation √xy = 3 + x²y dy dx = 2xy - 1/1/2√1/12²/12 y X 1 誰 2 y - +² X

A:

Q: 3. Find the derivative. sh (a)l= - पक) (a) f(x) = x2 cos x +x tan r (b) h(x) = e" (x² + 4x) %3D t2…

A:

Q: (i) (k) dx (tan x) dx (secx) = = (j) (cscx) = dx (1) :(cotx) = =

A: As per your request, we answer only parts (j) , (k) and (l).find using derivative rules

Q: Choose function(s) in the explicit form. Select all that apply. O y = e In(e + e) + ce sin z y = Cos…

A:

Q: 3 | (x + 7)10(5x − 1) (8x + 8)² Use logarithmic differentiation to find the derivative of f. Let…

A:

Q: 19 1(x) = -0.6(x – 267.05) + 12.34

A:

Q: 3t L[e* (6 cosh(3€) – sinh(5t) ) O A. 6. (s – 3)* – 9 (s – 3)- 25 OB. S-3 (s – 3) (s- 3) - 25 OC.…

A:

Q: ), find

A:

Q: U² - 2 If y = sin U+2 and u = cos(x² +2x+1), find- ddy dx dx Note: Just do the single derivative and…

A: The single derivative is:dxdy​=−sin(x2+2x+1)⋅(2x+2)⋅cos(u+2u2−2​)⋅((u+2)2u2+4u+2​)The value of dxdy​…

Q: 12:23 < Back Pulse 15) Find the derivative of y with respect to x, IMPLICITLY: sin(x + y) + y = x²…

A: Step 1: Step 2: Step 3: Step 4:Step 5:

Q: Find F(s). L{e-6t cos(7t)}

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.