Given x = 12t – 48 and y= 144 sin t %3D dy dx dy dx?

Q: Given x = 9t - 34 and y = 81 sin t dy dx dy dx2

A:

Q: Given x 19 In(t) and Y 361 t2 then find dy dx dy dx?

A: To find: The value of dydx and d2ydx2. Given: The values are x=19 ln t and y=361t2. Formula used:…

Q: 33. sin x dx dy х 0,

A:

Q: Given x 4t – 13 and y = 16 sin t dy dx a²y dx2 ||

A:

Q: Given that cos(2x+y）=4xsiny, where 0≤y≤π, find the value of y and dy/dx when x=0

A:

Q: Given x = 2 cost + 10 and y= 8 sin? t dx (i) dt dy (ii) dt dy (iii) dx

A: Let's find.

Q: Given æ = 13t – 49 and y = 169 sin t dy dx dy dx? ||

A:

Q: Given that y = ebx tan(: dy dx dy dx ||

A: y = e6x tan(5x)ln y = 6x tan(5x)Differentiating w.r.t  x;1ydydx =6x ddxtan5x + tan5x ddx6x1ydydx =6x…

Q: Given x 14t – 24 and y 196 sin t - dy dx d²y dx?

A:

Q: Given a = 2 cost + 17 and y = 3 sin? t dx dt dy dt dy dx

A:

Q: Given x = 2 cost + 17 and y = 3 sin? t dx dt dy dt

A:

Q: Find the general solution of the given Attached equation

A:

Q: Given: x = sin(nt) and y = cos(nt); dy Find dx d²y Find dx2

A: We have to find the derivative

Q: Given the functions x = 3t² + 4t and y d²y = sin 2t, find dx?

A:

Q: Given that y = sin (t) and x cos²(4t*), hence find dx dy

A:

Q: Given e = 98 sint + 24 and y = 98 cost +3 da (*) dt dy (é) dt dy (é) da ||

A:

Q: Given x = 5t – 27 and y= 25 sin t dy (i) dx d'y (ii) dx? ||

A:

Q: Given x = 2t - 35 and y = 4 sin t dy (i) dx dy (ii) dx2

A:

Q: dy d'y dx ' dx? 2. If y = sin 2x – 2 cos 3x,the find, at x 0

A: The given function isy=sin2x-2cos3xto finddydx, d2ydx2    at x=0

Q: d) y = sin*(x'/3) + arctan(r?)

A:

Q: dy Find for y = sin (2x +3) da %3D Ans=

A:

Q: 2 dy Is y = sin t, a solution to = 1 – y? Justify-

A: We will prove the given statement.

Q: d'y Find for dr? y = 5x? cos(x) + 13 sin(x) d?y dz? ||

A:

Q: If dy/dx=sin(x)cos2(x)dx and y(pi/2)=0, whats the value of y(0)?

A: I am going to solve the given problem by integrating the given differential and by substituting the…

Q: d'y Given that x= sec 0 and y= 2 tan 0. Find dx?

A:

Q: dy 5. If y = e+1 sin(1 – a2), then Find dx

A: We need to find the derivative of y=e3x+1sin1-x2 We will use the product rule to find the derivative…

Q: Answer the given DE below: x (dy/dx) +y=y^2

A:

Q: Given that y=e3x sin 2x. Show that d2y/dx2 - 6dy/dx + 13y = 0

A:

Q: Given x = 75 sint + 30 and y= 75 cost +4 dx (i) dt dy (ii) dt dy (iii) dx || ||

A:

Q: If we solve the DE y dx + 2 x dy 0 alter converting it to Exad using an

A:

Q: Given x = 11t – 46 and y = 121 sin t dy dx dy dx? || ||

A: We have to find out the derivative and second derivative of given function

Q: Given x = 4t - 22 and y =16 sin t dy dx dy dx2

A:

Q: Find for dy dæ² y(x) = cot(x) *= csc? dy dx? 2

A: Given query is to find the double derivative of cotx.

Q: dy dx sin (a +y) (a is not multiple of x ) sina

A:

Q: Given x = 32t + 1 and y = 160t? + 116 dx (i) dt dy (ii) dt dy (ii) dx || ||

A: x=32t+1 and y=160t2+116, then we have to find i. dxdtii. dydtiii. dydx

Q: d'y Using method of variation of parameters solve + 4y = 4 tan 2x dx?

A: d2ydx2+4y=4tan2x

Q: Find dx implicitly, if e*(e♥ – 1) + sin(2x+ 5y) = In(v7) – dy 5 ·cot(2x - y+2

A:

Q: The general solution of the DE dx dy = cos?y is

A:

Q: The value of | sin(x + y) dx dy is 0 0

A: To evaluate the below integral. ∫0π/2∫0πsinx+ydx dy

Q: The value of sin(x + y) dx dy is 0 0

A:

Q: d’y If y= cos 2x, then at dx? x = 0

A:

Q: Find the solution where y= 1 and dy/dx = 0 when x =0 and describe the behaviour of the solution for…

A:

Q: Given the IVP dy + 4y = x - 2, y(1) = 0, dx the value of y(2) is closest to

A:

Q: Given x = 2 cost + 38 and y = 5 sin?t dx (i) dt dy (éi) dt (tt) dy (iii) dx ||

A: We can find the answer as below.

Q: sec?y dx? – csc²x dy? = 0

A: The given differential equation is sec2 y dx2-csc2 x dy2=0, which can be simplified as follows: sec2…

Q: Given a = 2 cost + 30 and y = 5 sin? t dx dt dy dt dy da || ||

A:

Q: dy dx sin (a+y) (a is not multiple of x ) sina

A:

Q: Given a = 2 cost + 20 and y = 5 sin?t de (6) dt dy (é) dy (é) de ||

A: We have to find the derivative of given functions

Q: Given æ = 15 In(t) and y = 225 t² then find dy dx dy dx?

A: Given that       x = 15 ln(t)      and   y = 225t2 Here we have to find        dy/dx       and…