25 x ex* dx = e-1

Q: 2x(y+1)dx-ydy=0

A: We have,2x(y+1)dx-ydy=0 seperate x and y terms2xdx = yy+1dyIntegrate both sides∫2xdx =∫ yy+1dy =…

Q: dy (2y – 3x)?, y(0) = 0. dx Consider the IVP

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Q: Q:2, Prove thunt x (1+x)"dx 306

A: Given:To prove that ∫01x(1+x)16dx=1306

Q: What is the value of a so that In (e") dx 6? ... A.) 0 В.) 1 C.) 2 D.) 3

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Q: 3. xe' ty dx = xydy

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Q: For which value of a the equation dz dy dx =2 does hold? O a. 2 O b.3 O C. 4 O d. 1

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Q: (b) for 3-3x³ dx

A: We need to evaluate the given integral- ∫0∞3-3x3dx Here we will use the following integration…

Q: Determine equuation is escact.if it is then Solve it whether the given 3) dx=(223y+4)dy जिचट)

A: Consider the given equation. 2xy2-3dx=2x2y+4dy Further, simplify. 2xy2-3dx-2x2y+4dy=0 The general…

Q: Q3/ show that the following equation is linear or Bernoulli ? and solve it y\ = (cos x – y)tanx

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Q: (x+ yel) dx – xe dy = 0, y(1) = 0

A: By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: For what value of c does dx 1? 10 X

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Q: Find the values of a and b that make following D. E is exact (-) dx + (xy + 1) dy =

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Q: 1 -dx ? x2 – 16 Which of the following is equivalent to |

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Q: 5. Find (x +3)² dx, (be careful!) 5. e® + e¯ | cosh r de dx %3D

A: The complex form of integral can be converted to simple integral using integration by substitution…

Q: Find the values of a and b that make following D. E is exact ( - 4) dx + (xyo + 1) dy = 0 x2+2

A: Remark: A differential equation of the form M(x,y) dx + N(x,y) dy = 0 is exact if and only if dM/dy…

Q: Use appropriate substitution to reduce the following equation to a variable separable and then Зх +…

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Q: √ay-x² So Sie So dz dy dx

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Q: Find dy/dx at the given point for the equation. x = 8 In(y? – 35), (0,6) dy/dx = %3D

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Q: Solve this completely to answer several questions. dy 4y Consider the equation + = x. dx What is the…

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Q: What is S ØQ,(x)dx if the given equation is dy y = 2xy?e¬x? | dx Select the correct response: -x2…

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Q: dy Consider the IVP dx (2y – 3x)?, y(0) = 0.

A: Consider u as 2y-3x. Differentiate both sides of the equation u=2y-3x to obtain the expression of…

Q: Determine dx, assuming x > 0. [3 points] Hint: This can be rewritten 10. as dx.

A: We can use the method of substitution in order to solve the given problem.

Q: If x +y° = 28, find the value of 3 at the point (1,3). dx d?y The value of - dx (Type a simplified…

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Q: 2e* 1+e-2x dx =

A: we have to find integration

Q: Ex: Salve the equation ofD-o Pelatermeth dy inzx

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Q: Evaluate the following: (Note: Final answer should be expressed as a decimal, not in terms of gamma…

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Q: Given that 1 -dx + dr = ln a, find the exact value of a. V16+9x² V9+4x* 1.

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Q: Suppose z is a function of x and y, and a? – y? = 2"e6y. Solve for dz dx

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Q: 2. S 2e* tanh e* dx

A: A detailed solution is given below.

Q: Determine how large the number a has to be so that 1 dx Submit Answer

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Q: (xy + 1)dx + x(x + 4y – 2)dy = 0 %3D

A: Given (xy+1)dx+x(x+4y-2)dy=0 Let the integrating factor be xαyβ Multiply both sides by xαyβ , we get…

Q: For the equation given below, evaluate 4 at the point (1, 1). dx eY + 6 – e' = 3x? + 3y. dy at (1,…

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Q: Q5) show that the following equation is exact and solve it. ylnx?dy +dx - = 1 xlny?dx +dy

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Q: (2xy-y)dx+x(x+ 1)dy = 0 %3!

A: Exact differential equation :       A differential equation is said to be exact if it satisfies…

Q: 35. x dx + Ja? - x² dy = 0. ,2

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Q: Derive a formula for the equation below: хп In x dx Where a.) n =-1 b.) n + -1

A: We use  the substitution method and integral by parts for each of the cases given. Note that…

Q: For which value of a the equation dz dy dx =3 does hold? Oa.2 Ob.0 OC.3 O d. 1

A: This question is about application of integration

Q: у dx + (у өу-ху-2 х) dy

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Q: 2. S x?e dx = Note: no decimal answers are allowed and please show your work.

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Q: If: y3 ax°+ bx? + bx? ca + x? ---- find the value of dy dx for a= 8, b = 6, c = 4, x = 7.23 Give…

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Q: (х5 + Зу) dx — х dуy %3D 0

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: QI: Solve the following DE: e*dx-ydy 0y(0) = 1

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Q: For which value of a the equation SSS dy dx dz 1 2 does hold? O a. 0 Ob.1 O.-1 O d. 2

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Q: 1 f'(x) = 5x +1 dx

A: The given function is: f'x=5x-12+1dx f0=3 To find the value of f(4)

Q: Consider I = (2x + 1) dx with b > 0. If R₂ = 2 then the value of b is: O 1.5 1 05 02

A: Solution :-

Q: Solve the following using the method of solving Bernoulli Equations. dy 1. dx +? = x²y?

A: Given:         dydx+yx=x2y2 This is of the form dydx+P(x)y=Q(x)yn…