d²y dt² d'y 11. + (cos t)- dt4 +y=e=tsin t

Q: The order and degree of the differential d³y V dy equation: 7+ i. - dx3 dx 3, 2 7,3, 3, 1 3, 7

A: The order of a differential equation is the highest order of the derivative that is present in that…

Q: Find dy/dx if 3 (cos y) (sin x) = y

A:

Q: Calculate 2 4-y2 IL dy de y dx dy. T sinx SSasing dy dx @ $ ydydk

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

Q: Let y = cot (csc2x/x3+5). Find

A:

Q: ctan x (2) Let h(x) = t dt, calculate h'(T/3). ww. t2 + 2

A: Solve the following

Q: Find the equation for the curve f (x) at the point (x, y) meet the following conditions dy / dx = 4x…

A: A curve is a function with equation of the form y=f(x). A differential equation is an equation in…

Q: bxy + 2b°y²)(x dx + ydy)> xdy -ydx

A:

Q: Draw the bifurcation diagram for dy/dt = y(a-y)

A: We can use concept of critical points in order to solve the given problem.

Q: 3. Se paration of Varlable s: x(y +1)dx+

A:

Q: 5-find Аху : xe 12) if f(x, y) = xe

A: First I have mentioned what we have to find then just use the rule of partial derivative find the…

Q: dy/ dx-y/x= -y ^2 /x Is it linear ? does lt become linear with a substitution v = y^ 2? does lt…

A: given equation is  dydx-yx=-y2x

Q: d/dx (2x'y²+8x-2y+3)=? Select one: a. xºy2 b. 14x°y? O c. 14x®y²+8 С. d. 14x°y²+2y O e. 2x'y?+8x-2y

A:

Q: Consider y=(x2+1)2x a) find dy/dx b)Evaluate y'(1)

A:

Q: d -e'(t² + 5) at t = 0. dt Find

A:

Q: dy Csc t مثال )3( اذا كانت فاثبت ان y = tan t , x = sec t das II

A: Solution:-

Q: y = Vr² + VT etin e y = r-5 y = (cos z)n. y = /tan 2x – sec3 (4x – 1)

A: as we are just given 4 functions and not any question so I assume we need to find the derivative of…

Q: Find the direction in which the function g(x, y) = cos(xy) decreases fastest at the point (1, pi)

A:

Q: Find by implicit differentiation: dx a. cos y =x+ y

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: y'(t) = y sec t, Y 6) = 0

A: We need to solve the initial value problem y'(t)=ysect ; y(π/2)=0. The solution is given below.

Q: Find dw/dr and dw/dΘ for w=2z/y-3x if x=3Θ+2r, y=3r^2 + Θ, and z =4r-Θ, where Θ = 2 and r = 5.

A: w=2zy-3xx=3θ+2r,y=3r2+θ, z =4r-θTo find ∂w∂r and ∂w∂θ for θ=2 and r=5

Q: Determine whether the given equation is separable, linear, neither or both.  (t^2+1)dy/dt=yt-y

A: