Determine the solution of an initial value problem; 2e°cos2x dx+ (e'sin2x + 3y sec²y²) dy=0, =0 4 A 2e'sin2x – 3tany²+1=0 B 2e'sin2x +3tany² – 1=0 2e'sin2x – 3tany²+2=0 D None of the given choices E 2e'sin2x + 3tany² – 2=0

Q: Which of the following equations is the DE whose solution correspond to y = C1 sin3x + C2cos3x +…

A: The DE y''+9y=81x2 corresponds to the solution y=C1sin3x+C2cos3x+9x2.Therefore,the correct option is…

Q: The general solution of y" - 4y + 8y = 0 is: Select one: а. ce?"cos2t + cze?'sin2t b. -6t + Cze2t C.…

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Q: Find the solution. (D3 +7D2 + 19D + 13)y =0; when x =0, y=0, y' =2, y"=-12 (A y = e*cosx B y =…

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Q: Find The general Solution of VO (3y cosx + 4x + 2x² e^²) dx +(3 Sinx + 3) dy

A: We have to find the general solution of 3ycosx+4xex+2x2exdx+3sinx+3dy=0

Q: Solve csc y dx + sec²x dy = 0 elect one: a 4cosy + 2x - sin2x = c O b. 4cosy + 2x + sin2x = c c.…

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Q: b) Solve to find if y = Tant VE and t = 4x-2 – secx dz b) if z = sin20, and 0 = [cos(w) + 1]² + cos…

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Q: Solve the equation siny(X+siny)Dy+2x²cosydy=0

A: Consider the provided question, sinyx+sinydx+2x2cosydy=0sinyx+siny+2x2cosydydx=0…

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Q: 2 3. sin³x cos³x dx OSx Show two solutions. 0.

A: Given  The integration is I=∫0π2sin3x cos3x  dx.

Q: Solve the D. E J+gtanx = sin ex

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Q: Yp = A1 cos V2t + A2 sin V 2t Which of the following is Yp'? sin v2t A1 V2 Cos /2t A2 V2 O V2A1 sin…

A: Please see the explanation below

Q: Find ds/dt if 3t + 3s sin(3t) + 3cos(t) %3D

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Q: Differentiate y= cos y2x +1 sin 2x+1 A. V2x+1 sin 2x+1 B. V2x+1 sin 2x+1 C. V2x-1 sin 2x-1 D. V2x+1

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the expression for dy dx dy dx dy 2xcos(x²-y²) - 1 2ycos(x2-y2)+1 dx The answer cannot be found…

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Q: Find The geneval Solution f 3y Cosx + 4x + 2x² e) dx + (3 Sinx + 3) dy

A: Here we have to find the general solution of the given differential equation which is of the form…

Q: sin 3x dr + 2y cos* 3x dy = 0 COS

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Q: Find the solution. y'= 1 + 3ytanx 3y cor x=ctanx + 3sinx – sin³x 3y tan?x=c+3sinx – cos?x © 3y…

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Q: Question 2 Find the solution to the DE. (y-x+xycotx) dx + xdy=0 xysinx=C+ sinx - xcosx Oy=(c +…

A: Concept: For a differential equation of the form P(x,y)dx+Q(x,y)dy=0 The differential equation is…

Q: Solve for the general solution of (D: - 1)y = sinx using variation of parameters y = cje¯* + ¢ze*…

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Q: Find the solution. (D³ +7D2 + 19D + 13)y =0; when x =0, y=0. y' =2, y"=-12 A y = e-2'sin3x B y =…

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Q: Find , if z= cos(3x² + 7y°) O 2x sin(3a? + 7y³) sin(3x² + 7y³) -9x cos(3x2 + 7y°) -6x sin(3x? + 7y°)

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Q: Find The general Solution of (3y cosx + 4x e + 2x² e) dx +(3 Sinx + 3) dy =o

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Q: Activity 2 Differentiate the following. 1. y = sin(6x) 2. y = sin (5x – 2) 3. y = tan (2x³ + 5) 4. y…

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Q: eneral solution to the equation V2cosx = sin2x

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Q: If x'y" + xy' +(x²-y30 x>0 ,V=x 2 sinx , and y =y,v. Which of the following equations satisfied by v…

A: Given differential equation is: x2y''+xy'+x2-14y=0 And given that y=y1v Where, y1=x-12sinx Now,…