The solution of 1y"+ y' = 0, y (0) = 0, /(0) =1 /(0) = 1 %3D is y(a) = %3D (A) cos a (B) sin a (C) 1-e- (D) 1- e (E) None

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: x*cos(y/x)*dy/dx = y*cos(y/x)-x   find solution of that differantial equation.

A: Let us consider the differential equation of the form dydx=fyx  then to solve the differential…

Q: (sinx)" dx is:- 4) The solution of (sin x) dx A) (sinx)' dx B) C) Zero

A: ∫0πsinx7dx=∫0πsin7xdxWe know…

Q: Find the solution of the equation = e cos y dy? which tends to zero as x → 00 and has the value cos…

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Q: (6) [²/2 sin² (2) cos2 (x).dx = A) 플 B) 플 C) 미플

A: We need to make it proper to solve this integration.

Q: (16) cos (xy) find dy/dx

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Q: 4sinx (x)cos (x)dx = (0) (b) () (d) (e) None 16

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Q: 3-(cos x)y' =yCv-1) sin x.

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Q: (7) coshx + sinh x = e* %3D

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Q: 1 – s2 S

A: we have to differentiate y  y=cos-1s+s1-s2

Q: (a) If y = xV², then dy dx (b) If y = (2 + sin 3x)", then d (2 + sin 3x)" = T(2 + sin 3x)=-1(cos 3x)…

A: We have to differentiate the given functions: a If y=x2, then dydx=2x2-1 b If y=2+sin 3xπ,then…

Q: Solve Y" - 6y + 13y = cos(4x)

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Q: Find the general solution:

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Q: Show that Y + y = 0_given that y=2 sin x + 3 cos X y"

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: (ii) y = e2x cos(1+2x²) (1+2x²)

A: y=e2xcos1+2x21+2x2

Q: In this particular problem, where is the u and du? Why does it suddenly not present in the solution?…

A: the given integral is: ∫esec(x)sin(x)cos2(x)dx let the given integral be I.…

Q: Find the general solution for (cosx)y' = 1 – y² consider y, (x) = sinx. %3D

A: Given:  cosxy'=1-y2                  1          , y1x=sinx Let y=y1+u be a solution of (1)…

Q: dx/dy + sin'3 y/ cos'2 2x = 0

A: We are given : dxdy+sin3ycos22x=0⇒dxdy=-sin3ycos22x⇒cos22x dx=-sin3y dy Integrating both sides, we…

Q: find differential equation of the following equation 1) y' = y-x y+x

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: x6 cos(x³) (A) True (B) False |dx=0

A: We will solve the problem

Q: - (2xy - sin x) dx + (x² − cos y) dy = 0

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Q: +3x2, (V)² = sin³(cos³(*3**» dy b. Find dx %3D

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Q: 1 cos²(x) 2

A: The given question as belonging to the calculus in which we have to find the given integral so now…

Q: Find y'. CSC CSc t y=5+t cos t y' = %3D

A: As per our guidelines, I am solving one question please repost other question. y=csc t5+t cos tto…

Q: 2.) y"-3y'+4y = sint ; y(0) = 0, y' (0) = 1 The answer should be: (1/6)cos t + (1/6)sin t -…

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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.