dx x(0) = 1 у (0) — — 2 х — 2у %3D dy dt 4x 3y %3D ||||

Q: If r(2) = sin(z² – 10z + 16), find r' (z) =

A: Since, we have been given that r(z)= sin(z2-10z+16)Our Aim is to find r'(z)=?

Q: Solve x+ ye dr- xe dy = 0, y(1) = 0 %3D

A:

Q: dx dy V3x + 4y' Evaluate

A:

Q: X+y e" dy dx

A:

Q: 2 (Dx-2Dx0y +Oy)u= 3Xy %3D AMS. 4

A:

Q: x3y" – 5xy' + 9y = 0 -3x y" + 5y' + 4y = 10e %3D

A:

Q: x(ху — 1)dx + dy %3D 0 (Non-exact)

A:

Q: dy -1, then -2x If y= csc-(e")+Ve-1. then - Select one: -2 e+1 e2x. -1 e-1 2-1 -1

A: Given, y = csc-1ex + e2x-1  We have to find dydx.

Q: Sx (Vx-1) dx

A:

Q: Solve dy (a) dx dy 1+y (b) dx 2x y+1 dy (c) (1+x 2+x dy (d) e*+y

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: cos(x) * еУ + 9у %3D Зу8 — 5х + 10е =

A: The expression cos(x)×ey+9y=3y8-5x+10e. We have to find y' or dydx.

Q: (x2+1) dx = 0. xe'dy + dx 3 0. y

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

Q: 3y?r + sin(2y – 4) = V(2y)

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Q: sin(x + y) dx (3x − 2y + 1) dx + (3x - 2y + 3) dy = 0

A:

Q: 2. Find all solutions: dt dy dx = 4x + y x + 4y' x > 0.

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Q: Determine the general solution: (dx/dt)A3 - (dx/dt)^2 - 4x = 0 Select the correct response: O y= c1…

A: Topic:- differential equations

Q: dx 3x 6y = 0 dt dy 3x + Зу %3D 0 dt

A:

Q: (x² + y² + x) dx + xycy = ax 0

A: The Solution is given below

Q: (х + 2у)dx - Зydy %3D0 o x* - 6x²y? + 8xy – 3y* = c o 3x* - 8x*y? + 6xy - y* = c o x* + 3x²y² – 4xy³…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: 12 x*y dx dy 12 I*y dx dy i

A: topic - double integration

Q: (ex + Iny + 1/) dx + ( 1/3 + (+In x + sin y) + Inxsin y dy = 0

A:

Q: The standard form of 3dy-xydx= 3y³e/3 by Bernoulli's ec 4x/3 dx 3 A dy ху = 3e**/3y3 dx 3 'x=…

A:

Q: Find the complete solution of d2y/dx2 +2dy/dx+y =sinxcos2x.

A:

Q: dy 1. dx = 6y d y 36у dx2 dy = -36y dx2 2. 3.

A: We are entitled to solve only one question at a time and up to 3 sub-parts only. So, we will answer…

Q: (y + 1) dx + (4x − y) dy = 0

A: Given differential equation is, y+1dx+4x-ydy=0                         ...... (1) This equation can…

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.