determine whether the given differential equation is exact. If it is exact, solve it. (please solve both  9)  (x- y^3 +y^2 sin x) dx = (3xy^2 + 2y cos x) dy 11) (y ln y-e^-xy)dx+(1/y+xlny)dy=0

Solve this simultaneous equation showing all steps please

i need the answer quickly

please answer question 3 , 5, 7 in full detail explanation

Solve the following for x: 6log. Vx-log,3x=log, x i1) 32-5 =27 i11) Vx +x+10 =x+2

Need help with C as I’ve got an answer for x^1 but it’s not correct due to it not being from the 0 time point. So can you help find the answer from 0 Time Point to when the wave reaches -2 next

d'y 5. Then dx2 d'y 6. -sin(20). dx? dy dx Use the following information for Questions 7, 8 and 9: t3 +y* = 3t –7. 7. The derivative of the left-hand side of the equation with respect to t is: 8. The derivative of the right-hand side of the equation with respect to t is: 9. The derivative dy -= y' for this equation is: dt

X Incorrect. If y₁ and y2 are linearly independent solutions of t²y" + 2y' + (5 + t)y = 0 and if W(y₁, y2)(1) = 4, find W(y1, y2)(3). Round your answer to two decimal places. W(y1, y2)(3) = i 0.53

Solve the following differential equation (x²+ y²)y' = xy Select one: O a. x= 2y²Incy O b. x? = 2y²Incy O c. None O d. x? = 2ylncy?

Find the general solution for the following differential equation (r +3). fip + (x+ 4)y = x²e- = r*e dr