(20,00 Puanlar) 2- y"-y=2 sin a Solve the initial value problem Í v(0) = 1, y'(0)=-1 %3D a)y = e+ e - sin z b)y = e +e – sin r c)y = e -e - sin z d)y = -e -e² – sin a |3D %3D %3D a) O a) b) b) C) C) d) d) Boş bırak

Q: Consider the Riccatti equation Please answer all parts. v'=v2-(7/x)v+8/x2 a) use the substitution…

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Q: 2. 1= j tan(4x³) ,sec²(4x²)xdx dx 1- I=31-2x) (In( 5. I= 3. 1= ftan? (3x) sec? (3x)dx

A: Here we have to find the value of the following integrations. Note :   As per our company guidelines…

Q: a) Solve (x² – 1)dy + [2xy – (1 + last digit of your id)]dx = 0

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Q: (sinx)" dx is:- 4) The solution of (sin x) dx A) (sinx)' dx B) C) Zero

A: ∫0πsinx7dx=∫0πsin7xdxWe know…

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A: Given query is to find the integral.

Q: y" +y = 3 sin 21 +t cos 21

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Q: 2. Solve for y in terms of x for the following equations: a) In(1- 2y) = x %3D b) In(y- 1) - In 2 =…

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Q: dx S (x² – 6x + 13)² 4.

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Q: y-e" sec! x-3x° 2 csC X Sin x-2X

A: on doing the differentiation of this we get the

Q: a.) 4xy" +3x³y'-7x=sin(2x)e²x b.) 5xy+3 dy dx) N = 2e+¹

A: a) The given differential equation is 4xy''+3x3y'-7x=sin2xe2x. Here, all the coefficients anx,…

Q: Solve using variation of parameters: y" - 2y' + y = e(1+1²) + 3et p= ₁ ¹ + ₂ tet (Use 2 decimal…

A: Using Variation of Parameters Method we have to find the u1(2).

Q: Solve the following D-E 1) y' +y = sinx dy 2) x - 2y = x°cos4x dx dy 3) x = y + x³ + 3x² – 2x dx

A: **As per bartleby guidelines we are allowed to answer only 1 question or 3 sub parts at a time.…

Q: 1) S“(cosx)" dx. 2) Г(-4). 3) В (10,9) 4) Sº x° e-2* dx Ja-x)i 5) o

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Q: Which table is a probability distribution table? X 1 P 0.4 X 1 P 0.4 X 1 P-0.2 X 1 P 0.2 2 0.15 2…

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Q: B dy x/1-y2 dx 1+x2 II

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Q: S(cscr cot a +4x)dx sec a +x"+c 4. CSc a +x +c sec a+ x"+c O - sin a + a+c CSC a+x"+c

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Q: b) Differentiate y = e (In3x) + tan (3y) with respect to x. %3D + 2e In 3x Ans: dy %3D 3 1-

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Q: Solve the following 1 1) y dx + x² + y? dy = 0 x +y 2) (3x? In x+ x² –y) dx- xdy = 0, y(1) = 5 dy…

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Q: olve tho) Solve through reduction to exact equations (x-y-1) dx + (4y +x-1) dy

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Q: ) (2ху — tanу)dx + (x* — хsec*y)dy 3D 0

A: Given: (2xy-tany)dx+(x2-xsec2y)dy=0

Q: 4. Find d?y/dx² for the following functions: a) y = sin x? cos 2x b) y = cos (sec2 3x) c) y = x²(x³…

A: Since you have asked multiple questions, we are answering the first question for you as of now. If…

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.