d²y Find d , if you know y = 2x³ ?

Q: y = e"(1 – y²), y(0) =

A: We will find out the required solution for given differential equation.

Q: Find the solution. dy x-+5y =2r?y4 dx (A y = 13 2+cx !5 6 B y = -x+ cr13 15 cy- 13 D y = 23 -2- cx 5

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Q: - 2.f(x,y) = y²x¹ey.

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Exercises : 1) xdy-ydx=y'(x²+y³)dy

A: Given xdy-ydx=y3x2+y2dy

Q: d?y Find in terms of x and y. dx2 x²y² – 14x = 5 d?y dx2

A: Take the derivative two times and rearrange the all terms.

Q: Given, y(1) = t²e", 0 < t < 3n Find the value of r(1). -T IT

A: We know that eit = cos(t) + i sin(t) Cos(π) = -1 and sin(π) = 0

Q: (Dª +2D³ + D² +12D+20)y = 0

A: We have to find the general solution of the equation.

Q: I. (a + y?) da dy dz; 2: 2<4-a? - ở, z 20 (x².

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Q: Q2. (a) dy = (x + y + 3)² (b) 2xy4 = 4x² + 3y?

A: Given that a)dydx=x+y+32 b)2xydydx=4x2+3y2

Q: Give the general solution of (D5 + 2D4 + 7D3 – 4D² – 26D + 20)y = 0 -

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Q: What is the value of y(10) for y(t) L'((e“+2e ll + 3e ")) ?

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Q: Find the solution. dy + 5y =2x?y4 dx X- 6 x²+cx15 13 A 6. -2– cx 15 B 23 © cy-1 = 6. ?+x15 13 D 6 y…

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Q: cx-dy=c^2+d^2 x+y=2c What is x?

A: Please refer the attached image for complete solution.

Q: The y, of (D²+D)y=11 .A e¯X+11 .B 11 .C 11x .D does not exist

A: Given that  (D^2+D)y=11  To find the particular solution differential equation

Q: (D3 + 3D2 + 9D – 13)y = 0. Find the solution.

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Q: + 4 dz Jo e+ 4z

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Q: xi+yj+zk Q5/ If F = find curlF.

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Q: (C) y" + 21y+8x=y" + 5y' + e²*

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Q: Find Prti= (r+)P,+m analytical solution to Simplity as much possibe. as

A: We are given the following expression.       Pn+1=(r+1)Pn+m Let us denote a=r+1. So,…

Q: What is the general solution of the equation y '(t) = -4y + 6?

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Q: 1 4) x(s) = (Sta)?

A: Given: xs=1S+a2

Q: (b) x 'y "- 6y = 0

A: As per our guideline we are supposed to answer only one asked question.kindly repost other question.…

Q: d'y dx2 e* +(=

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Q: 12. r + yy = 1, y(3) = 4 %3D

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Q: d?y find dx2 y = (x³ + 1)? + 1)²

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Q: dx x2V9-x 2. S(6x³ + 3x?) e*4x d=

A: Only I do que 1 and 2

Q: dx (x² + y²)/2

A: Given: To Find: To evaluate the given definite integral.

Q: 22z-1 r(x)T I(2)r(z+ 1/2

A: The solution is given as

Q: (D² – 3D + 2) y = (1+e*)? -

A: We need to solve- (D2-3D+2)y=(1+e-x)2 General solution is given by- General solution = Complementary…

Q: If y=3xe , then what is d²y. 3x dx 2

A: Let's find.

Q: What is the degree of the differentia equation dy 5a4 – 6x2 ? dx3 .A 1 .B .C 4 .D

A: The degree of the differential equation is represented by the power of the highest order derivative…

Q: He is (D +3D-4) y(x) =15e" given The general solution to the equation y(x) = qe* +(c, +3x)e** True…

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Q: Find the solution. dy x-+5y=2x3y4 dx A y = -x+Cx13 15 6. -2-cx 15 23 B y = CX x²+cx 15 y = -

A: Given differential equation is xdydx + 5y = 2x2y4

Q: If y= (9x2-6x +2)e3x find dy then choose the correct answer: dx

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Q: Toprove dp x+ Pfz +レFz dz -fp

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Q: Q2/A/ Find " X" from equation r2 = 8(2tan20 + 1) %3D

A: Please rate and feel free to ask any query about any part of the question.

Q: O y" + xy" + 3y² = 5

A: Given that the four differential equations To find:- Which is 3rd degree differential equations

Q: f(x) dx 39 and | g(x) dæ = 14, find d (2f(z) + 5g(x)] da.

A: ∫010fxdx=39∫010gxdx=14To find:∫0102fx+5gxdx

Q: 9-y2 V9-y2e e-(x²+y²) dxdy

A:

Q: Solve (D³ + 4D² + 5D) y = 0 ; when x = 0, y= 0, y' = 0, y" = –5 %3D E A- B I- E E !!

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Q: dx x² + 8x + 7 2

A: We know, ∫dxx-a=lnx-a

Q: The y, of (D²+D)y = 11 .A does not exist .B 11x .C 11 .D e +11

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Q: Use the figure below to answer the following question. a || b 1. If m5=D46°, and m22 (3x-4)°, find…

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Q: Find EF in the trapezoid. x+3 A 3x E F 32 C. B EF =

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Q: If LR0} = F(s), then L{{3()}

A: We know thatL(f(t))=F(s)=∫0∞f(t)e-stdt

Q: Find the d?y/dx2 of the function y=(5x² – 3)(7x³ + x)

A: Given: y=5x2-37x3+x To find: d2ydx2

Q: 2. (6x-2) dy d2

A: Given query is to find the value of the integral.

Q: d'y xy + y? = 2, find dx2

A: Here we have to find d2ydx2=? Given:- xy+y2=2

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.