Solve simultaneously x' (t) – y (t) + z' (t) = 1 - æ (t) + y' (t) + z (t) = 1 - 1 a' (t) + y' (t) – z' (t) = 0 %3D where x (0) = 1, y (0) = 0, and z (0) = -1, find x(7).

Q: Solve: y''+ 6y' +5y = 20t + 39 y(0) = - 4, y'(0) = 19 | y(t) =

A: The solution is given as

Q: Solve x'(t) + 3x(t) + y'(t) – 4y(t) = - 3z(t) y'(t) – y(t) +x"(f) = 0 2x'(t) + z'(t) = x(t) + z(t)…

A: Given: Consider the given, x'(t)+3x(t)+y'(t)-4y(t)=-3z(t) --→ (1)y'(t)-y(t)+x''(t)=0…

Q: The function y=f(x) satisfies the conditions y(0) = 1 and y'=xy³/4. What is y(1)?

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Q: ' (x² +2)+4x(y² +2y+1)=0, y(0) =1.

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Q: Solve simultaneously y (t) = 1 – a"(t) z' (t) = 2y (t) x(t) = -yr(t) where x (0) = 2, x' (0) = –1, y…

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Q: y''(t)+5y'(t)+4y(t)=u(t) u(t)=2e-2t , y(0)=0 ,y'(0)=0 Y(s)=?

A: The solution is given as

Q: solve the equation :- y'(t) = y(t) [a-y(t) ] ₁ y(0) = a/2, 970

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Q: Solve X [1]-[-4⁰ Ly'. x(t) = y(t) = 3 2 3] [] x(0) = −4, y(0) = 32 -40 -13

A: From the given homogeneous equation:

Q: Solve the IVP y"(1) +y'(t)- 2y(1)= 2e' sin(t), y(0) = 1, y'(0) = 1. %3D

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Q: Find g'(5) given that f(5) = - 5 and f' (5) = 10. Enter the exact answers. (a) g(x) = 6x² – 5f(x)…

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Q: Solve y" + y = 8(t – 7) – 8(t – 27), y(0) = 0, y' (0) = 1.

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Q: Solve: у" + 5у'" — 2y' - 24у — 42е 5t 2y' — 24у 3D 42e — 2, у'(0) — — 6, у'"(0) —D — 30 | | | y(t) =

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Q: Solve the equation y' (t) + y(t) t dz -√4(z) Sin (t-2) d2 = - Sint yco) = 1

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Q: Find g' (8) given that f(8) = – 3 andf 8) = 6. %3D

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Q: Solve: y'"' + 4y'' + 5y' + 2y = 0 y(0) = 4, y'(0) y(t) = = 4, y''(0) = 5

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Q: Solve y'' + 4y' + 4y = 0, y(0) = 3, y'(0) = y(t) = 9

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Q: P(Vm,T); PVm = RT ӘР JVm / T avm ӘT ӘТ ӘР P Vm = = =

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Q: y (2 xy +1)= xy'

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Q: Solve y’’ – 4y' + 40y = 0, y(0) = 2, y'(0) y(t) = = - 2

A: The given differential equation is y''-4y'+40y=0 with y0=2 and y'0=-2. We know that, if auxiliary…

Q: y'+(2x-1)y-xy2=x-1; y(0)=3, explicit solution of the form y=f(x) Also: a) Determine the value of…

A: A differential equation is a mathematical equation that connects one or more unknown functions with…

Q: G(y) = (y − 1)4 / (y2 + 2y)7 Find G'(y) =

A: for a polynomial function of power n: Division rule of differentiation:         Chain rule :…

Q: Solve y'' - 2y' + y = 0, y(0) = — 5, y'(0) = = y(t) = - 8

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Q: Solve u(x)=(x-1)e*+4 e (*+t) u(t)dt

A: This question is related to definite integeration. We will solve it using basic definite…

Q: Find y as a function of if y(0) = 2, y'(0) = 9, y'(0) = -58. y(x) = y"-4"-y + 4y = 0,

A: We are given the homogeneous differential equation: y"'-4y"-y'+4y=0 and y(0)=2, y'(0)=9,y"(0)= -58.

Q: Solve []-[*一- -15 a'(t) y'(t) z'(t) 1009 1000 x(t) y(t) z(t) 500 2 500 400 12 1000 400 with…

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Q: Solve y’’ – 4y' + 85y = 0, y(0) = 2, y'(0) = y(t) = - 41

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Q: Solve xy'(x) + (x+ 1)y(x) = 3xe¯ O a. y(x) = 3xe 2 + Ce O b. y(x) = - 3 + ce 2 Oc. O C. y(x) =…

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Q: 2x³y' = y(y² + 3x²) using Bernoulli.

A: