Solve the following initial value problems. 3. y" + 11y'" + 39y' + 45y = 0 y(0) = 0, y'(0) = 1, y"(0) = 0 (T)

Q: 7. Solve the initial value problem: (e² + y) dx + (2 +x+ ye") dy = 0, y(0) = 1

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Q: 5. (x² + y² + x) dx − (2x² + 2y² −y)dy = 0 [Answer : x - 2y + log(x² + y²) = c]

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Q: Solve the following IVP y"-y'+y/4=0, y(0)=2, y'(0)=1/3

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Q: Solve the following initial value problem. у"" - 2y" + 10y - 60 е 2x, у" (0) 3 30, у' (0) %3D15,…

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Q: If j(x) = e(sin(x)+cos(x))² , then j'(x) = 2 cos(2x)el+sin(2«) COS

A: Given

Q: Solve the following initial value problem. y(4) – 4y" + 3y" = x, y(0) = 0, y'(0) = 0, y"(0) = 0,…

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Q: x²yy' = (y² - 1)3/2

A: Given that, x2yy'=y2-132 We can solve this by using variable separable method. ∫xn dx=xn+!n+1+C

Q: 2. у"- Зу'+ 2у-е" when y(0)%3D1 аnd y'(0) —0 3t

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Q: ← Solve the following initial value problem. y"" - 10y" +41y' = 150e²x; y''(0) = 172, y'(0) = 22,…

A: This question is related to ordinary differential equation.

Q: 3. Find the solution of the following equation y'+4y= 0

A: This is Separable differential equation

Q: Solve the following initial value problem y''+25y=5x,  y(0)=1 , y'(0)=5

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Q: Solve the following initial value problem. y(4) = - 3 sint+2 cost with y"'(0) = 9, y"(0) = - 2,…

A: Consider the given equation y4=-3sint+2cost

Q: (h) xy" + 8y' +18xy = 0, xo = 1 (i) (3 — x²)y" — 8xy' - 18y = 0, xo = 0 (j) 2y" + 8xy' + 18y = 0, xo…

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Q: Solve the following initial values problem  y'(t)+y/2=4, y(-1)=0 y(t)=? Answer should be in terms…

A: Answer is- y(t)= 8(1-e^(-(t+1)/2)).

Q: (a) y' = = ing 3t²y y+1' are probler y(2) = 1 biems

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Q: Question 1: y" = 2 yy' y(o) = 1 y'(0) = 2

A: To Solve: Given differential equation ,

Q: Solve the following innitial value problem x²y" + 11x y² + 26 g = 0₁ g (¹)= 2₂ y' (1) = 9 your…

A: NOTE: Refresh your page if you can't see any equations. . compare the given DE with  so here we…

Q: Solve the following IVPs 9y " − 6y' + y = 0 with y(0) = 4 and y'(0) = 1

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Q: Find a solution for the following initial value problem y’’ + ¹y' — 6y = 0, with y(0) = 5, and y'(0)…

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Q: Solve the following initial value problem. y'"(t) = 24t – 60t*, y(0) = 1, y'(0) = 0 y =

A: Given initial value problem,y''(t)=24t-60t4, y(0)=1, y'(0)=0

Q: 2.2. Solve the following initial value problems: a) t+2y=², y(2)=1.

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Q: Solve the following initial value problem. y(4) - 5y"" + 4y" = 3x, y(0) = 0, y'(0) = 0, y"(0) = 0,…

A: We are given .To Find:Solve the above initial value problem.

Q: x' = 1 t + 8' dy 4e-21, dx x' = tsin t², = x(1) = 0 y (0) = 3 x (0) = 1

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Q: 19. Calculate: -12e* (b) (25t – 8e') el-3 dt (a) dt (c) dx Hint for (c): Write e'-3 as e-³e'.

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Q: 1. y' = 2(3x + y)? – 1; y(0) = 1

A: Given that: y'=2(3x+y)-1, y(0)=1

Q: Solve the following initial value problem. y-8y"+25y'= - 50 e Sx. y"(0) = 23. y'(0) = 1, y(0) =8…

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Q: the graph of f(x) is shown f(x)=(x^(2)+2x-3)/(x^(2)+4x-5) what is the limt of \lim_(x->\infty…

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Q: Solve the following initial-value problem. (f) xy'''+2y'' = 6x with y(1) = 2, y'(1) = 1, and y''(1)…

A: Given differential equation xy'''+2y''=6x with y1=2, y'1=1 and y''1=4 Multiply by x2 in…

Q: II. Solve the following initial-value problems (IVPS): (a) dx = 4(x² +1), x (7) = 1 dt

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Q: Solve (D-2)²(D²+1) y=0,y (0)=1y '(0)=2, y'' (0)=3, y''' (0)=4

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Q: Solve the following initial value problems. 4. y" + 9y = 0 = 0, y'(n) = –1

A: Topic:- Differential equation  As per our guidelines, At a time only one question will be answered.…

Q: Solve the following Initial Value Problems a) x2 = y(1-x); y(-1) = -1. dx

A: NOTE: Refresh your page if you can't see any equations. .

Q: 2.3 - y 5e2, with y(0) = 0 and y'(0) = 1 %3D

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Q: y" - 9y = 5e²t, y(0) = 6, y'(0) = 1

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