Ind. Dep. Type Order Linear Degred Var. No DE. Var. o DE yes I 1 yxy x* Uxx + 5u uy = 5x?uyy 3. y'"+x(y')2 = sinx 4. ex wtt + t2 wx = sin(x) w y" +y' + siny = x 9. y'2 +xy = sinx %3D (y")3 + (y')2 + y = 3 7. amed 2.

Q: 2. 1= j tan(4x³) ,sec²(4x²)xdx dx 1- I=31-2x) (In( 5. I= 3. 1= ftan? (3x) sec? (3x)dx

A: Here we have to find the value of the following integrations. Note :   As per our company guidelines…

Q: Determine and of y = (5r - })(cos z + In z

A: Consider y=5x2+32sin x+ln x. Calculate: dydx=y'. Apply product rule of derivative:…

Q: 6. Find dy dx of cos y - 2xy + 3x = 2x sin x

A:

Q: Los 3x dx

A: The solution is as shown below

Q: dx xVx -1 6.

A:

Q: Find y': e siny + e cosx - a. none of these e sinz+e siny e cosy-e cosa e sinx-e siny ex cosy+eycosx…

A: Find y'

Q: 1. y = (5x - 8)* + Sin(tan2x)

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: y = cie“ sin x + c2e“ cos x y" + 2y' + 2y = 0 O y" - 2y' + 3y = 0 O y" - 2y' + 2y = 0 O y" + 2y' +…

A:

Q: Evaluate f 3xV1 – 2x² dx A(1 – 2x*) + C B. (1 – 2x*) +c (1-2x²)³ D. +C 2 Evaluate S dx csc 2x-cot 2x…

A:

Q: Scotx dx sin 2x cos' 2x dx g. i

A: To evaluate the given integrals by substitution method.

Q: 1. Find y' of tan(x²y*) = 3x + y² Answer: y': 3-2xy* sec²(x²y*) 4x² y3 sec2 (x2y4)-2y

A: We will solve the problem

Q: tan x= Sin 2X

A: Given: y'+y tan x= sin2x

Q: 1 = x²y" + xy' + cx? - +»v=o x>0 ,V1=X sinx , and y =y,v. Which of the following quations satisfied…

A:

Q: prave that. OSinh 3x = 3 Sinhx + +4Sinh'x e tanh zx - 2 tan hx x4 %3D +tanh'x

A: Question 1,Given,          sinh3x=3sinhx+4sinh3x

Q: y " +2y' - 8y = x? + cos x

A:

Q: Find y' if y = 5x sin x. O A. y' = - 10 cos x+ 5x sin x B. y" = 10 cos x- 5x sin x C. y' = - 5x sin…

A:

Q: If x³y" + xy' +(x? -y=D0 x>0 ,y,=x sinx , and y3V,v. Which of the following 3 equations satisfied by…

A:

Q: dy Solve x cosy = 2x. (siny) – 1 dx O a. y = arcsin(- + cx²) O b. y = arcsin(; + cæ²) O c. y =…

A:

Q: antiderivate of y = sin x + 6x2

A:

Q: Differentiate:

A:

Q: Compute y' for y=√(3x++ e - 3x) 8 A (В B D Say 3 24 y = ²4 (4x³ - e-³x) (3x + + e-³x) ³ 5 3 8…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.