Find the solution of: y+y=2e' ,y(0) = 0, y'(0) = 0 Select one: a. y sint- 2cost + e A b. y = 2sint - cost + e' C. y = e'- cost -sint d. y= e' OS Shot by Hisense H12

Q: If f(y) = siny-6 cos y, find f'(y). Use exact values. f'(y) =

A: fy=esiny-6cosy

Q: Find y' and y". y = e4e* y' = y" =

A: The given equation is y=e4ex. Calculate the value of y' and y''.

Q: y"1 +y1 = 0. У 2- У2 %3D 0.

A:

Q: Solve Variation of parameters to find y. and Yp and y y" + y = secxtanx

A:

Q: A mass attached to a vertical spring has position function given by s(t) = 8 sin(3t) where t is…

A: Given data : Position function , s(t)=8sin(3t) where t is measured is sec and s(t) in cm.

Q: 7. Let y = tan (3x - 2), find y'.

A:

Q: the profit P for a company is P=100xe-x/400 where x is in sales. use the method of differentials to…

A: As a first step let's find the derivative of P as shown on whiteboard and establish the relationship…

Q: Solve y" = sin x for y(0) = 0, y'(0) = 2.

A:

Q: 7. 3s+4 L-1{ s²+4s+5- 2t a. e²t (3 cost - 2 sin t) b.e-2t (3 sint 2 cost) – c. e2t (3 sint 2 cost)…

A:

Q: Find y" 13. y = x²sin (3x)

A:

Q: Find y' if y= 2x + Vx*-9xr+3.

A: We can find y' in the following steps.

Q: If y' = and y (In 3) = 3, find y.

A: Here the differential equation is y'=exy2, with initial condition y(ln(3))=3.

Q: Calculate y" and y'''.      y = ex /x

A: The given function is, y=exx Since the given expression is of the form y=fxgx, it can be…

Q: Find all possible functions with the given derivative. y' = csc? 30 Select one: A.1 csc 30 + C 6 3…

A:

Q: Evaluate and simplify y'. x - 9x y= 7x+4

A: In order to minimise or maximise a quantity, derivative of that function is calculated and equated…

Q: Find y' and y". y = cos(x?) y' - -sin (x²) ( 2x) y" =

A:

Q: 1. £[(sint + cost)2] 2. £[sint cos²t] 3. £[31² +2cos 2t)]

A:

Q: Let 8(x)=-x² + 3x-4. For which value of x is the instantaneous rate of change greatest in magnitude?

A:

Q: Find y': y = 3x7 – 14x6 + 4 Find h'(x): h(x) = cot(nx³) 6x-5 Find f'(x): ƒ(x) = x2

A:

Q: 5. у %3D 4х сos 2 x %3D

A:

Q: 4. coth(ln x)

A:

Q: Differentiate. g(t) = 14t g'(t) =

A:

Q: Find y' and y'". y=cos(xsin3x)

A:

Q: sinhçc+y)= sinhx.coshyFcoshx:sinhy

A: Here we have to prove that   sinh(x+y) = sinhx.coshy + coshx.sinhy    and   sinh(x-y) = sinhx.coshy…

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.