atch each function with the initial value problem that it solv y = e2z y y = x y y =tan(r) arcsin(x) Drop blocks here y' - 2y = 0, y(0) = 2 xy' - y = 0, y(1) = 1 r√1 r² y'= sin(y), y(0) = 0 Drag blocks from here y' - 2y = 0, y(0) = 1 xy' - y = 1, y(1) = 1 ry' + y = 0, y(1) = 1 y = 1, y(1) = 1 y' = 1+ y², y(0) = 0

Q: Find y' if y= x'sintx + XcosX

A:

Q: 6. Find y' if y = ecotx? A. -2x [csc²(x²)] (ecotx") B. -[ csc (x*)] (ecotx") C. [cot(x²)]…

A:

Q: 13. Find y' for sin(xy²) + x² = y². %3D

A:

Q: 4. Write an equation for the line tangent to the curve f(x)=" In(3x) -at x=1

A:

Q: y' : x² + y² sin x

A: We know thatExistence and uniqueness theorem: If f is continuous on an open rectanglethat contains…

Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x…

A: Some of the properties of derivative ddx(uv)=udvdx+vdudx ddxxn=nxn-1…

Q: Find y': y = arctan(e2x) 2e2x y 1– e4x? 2e2x y = 1 – e4x %3D 2e2x y 1 + e4x %3D 2e2x y 1 + e4x2

A:

Q: 16. y' + (2/t)y = (cos t)/t, y(n) 3D0, t> 0

A: The given DE is: y'+2ty=costt2

Q: Find the equation of the tangent line to y = arctan(2x) when x = V3 O y - = ( - ) 1 3 O y - = }(2 -…

A: Let's find.

Q: 17/3 cos (t)h(sinct)) dx

A:

Q: Which of these functions (or none of them): (1) z=e" (ycosx-xsiny) or (2) z=e' (y cosx-xsin x) 0²z…

A:

Q: 4. y=x

A:

Q: d'y 1 of the function -x'+y' = 3 1 Evaluate y"or when x = 0. 3 xp

A:

Q: Find y' for the following xy = sinhx+coshy

A:

Q: (y)2 1-y2 1- * when x = 1. Answer: Arcsin x Arcsin y = 3

A:

Q: 2sim x-1 -y = COST+2

A:

Q: 1- find dy/dx as a function of x. y = sec (tan x)

A: As per bartleby guidelines for more than one questions asked only first should be answered. Please…

Q: EX/ find (dy) for function y= banx + — — ban²³x bản dx H-W EX/ find dy for function y = T+ Cost Sinx…

A: