Find the solution where y= 1 and dy/dx = 0 when x =0 and describe the behaviour of the solution for large x, and briefly justify. y= Ce 2x+De 3x + cosx + sinx + Cosx + sinx

Q: dy 2y - 2xVy dx

A:

Q: Find dy/dx in terms of z and y if cos² (3y) + sin² (3y) = y + 15. I

A:

Q: 6. dx dy + cos.

A: Given: dydx=yx+cosy-xx

Q: Classify and Solve dy cos x +y sinx = cosx dx

A:

Q: y = | cosx + x² dx

A: Use the basic concept of integration and solve the indefinite integral.

Q: 1 7. sin0 tan0 + cos0 = %3D cos0

A:

Q: Solve: y (cosx)= (9+ y²)

A:

Q: cos (secx) dx 2 X - X

A: Step 1:Detailed analysis shown in below steps.  First Trigonometry ratios concept is used then…

Q: Evalutes x sinx dx x²+2x+2

A:

Q: 30. y= sin x ex+5

A: Consider the given function. y=sinxex+5

Q: olve dy/dx+y=cosx-sinx

A:

Q: 3. sinx — -1-2усosx dx

A:

Q: y = sin 2rx

A:

Q: Q6// Solve the equation: y cos? x dy + sinx dx = 0.

A:

Q: ら× CoS X doc っC3

A: For first problem we have use direct formula and for second one partial fraction