.D dy + x?y = sin(x) dx

Q: b. e4t cos x dx

A: Solution of the problem as follows

Q: dy If y = sin='(cos x) then dx ||

A:

Q: d) sin (x)e3*+ dx dx

A: The given integral is definite integral because limits are given.  So integration value will be a…

Q: r?= x? +y' Find dy

A:

Q: dy -1 Find for y tan-(3x) dx Ans= Check Answer

A:

Q: sin(xt) d Find dx -dt - t

A:

Q: (cse x – tan x)² dx

A: Given, ∫cscx-tanx2dx  We have to do the integration

Q: Find y". y = edx sin Bx y" =

A:

Q: X x²dx 5+ x2

A: Find the integral

Q: dy Find dx

A: Given: y=tan-1(sin(3x)+cos-1(cos(x))) Find dydx

Q: dy =x(1 – 2y) dx [v= }+ce*] 2.

A: Please refer the attached image for complete solution.

Q: y = | cosx + x² dx

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

Q: ソ=xX.sinx

A:

Q: c- S cos(Inx).dx

A:

Q: 2. x´sin(y)dxdy

A:

Q: Find dy/dx    y = 5 tan6x

A: Given Data: Equation: y=5tan6x The first derivative of the tangent function is, ddxtanx=sec2x…

Q: sin x dxdy

A: see below the calculation and answer below

Q: sin(In x) dx

A:

Q: 3. LLa (x + 2y) dy dx

A:

Q: x dx 1o. 8 x-X

A:

Q: V1+cos.x dx = ?

A:

Q: Find the value of

A: To find the value of ddxtanxx=π3.

Q: dx dx 1 sin?x +cos²x

A: given that ∫0π2 dxsin2x+14cos2x calculate the integral under the limits 0, π2

Q: dx X+1

A: Use substitution method

Q: Definition used- Integration by part - x* sinx dx

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

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.