16. Solve the exact DE with initial cond'n x(0)=1: (3x – Siny+2y)dx+(2.x – xCosy+1)dy = 0 а. 4ху + xСosy - Зу+2х? — 3 b. Cosy- Siny+4y+y° = 3 c. 2ySiny – 3xy+2x+ 4y² = 3 d. 4ху — 2xSinу + 2у +3x? %3D 3 | - |

Q: S (b) /: 8. (а) sin (x - т) dx; и 3 х — т 5x* .5 dx; и — х° + 1 (x5 + 1)2

A: (a) Consider

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A: Dear student as per our rule in one session we can only solve one question. Please post the other…

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A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Q1: Find 1) e (3 + e6t)2 2) l {e¬3t (t + 1)²} 3) е sin 3x dx dt 4) l (3t5) 5) e (est + cos 3t)

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Q: Find dy/dt. 11) y = (ecost/9)4 A) cos e4 cos(t/9) B) sin e3 cos(t/9) e4 cos(t/9) D) - (esin(/9)3

A: Use the chain rule of derivative and simplify.

Q: 5. (ex + Iny +) dx +(÷Inx + siny) dy = 0

A:

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A: Given differential equation, 3y''-6y'+6y=exsecxy''-2y'+2y=13exsecx

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A:

Q: (у — siny)(y'сosx — cscy) :

A: Solve the differential equation                          (y'-siny)(y'cosx-cscy)=0

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A: Given,

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A:

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A: We have to find the derivative  of given expression at point (1, 2)

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Q: Evaluste the integral

A: Part a,Given,          ∫exex+9-4dx

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A: Differential equations

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A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

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A: We need to solve D.E. As per Bartleby's guidelines we can solve one question from multiple question.…