the following ordinary different is nonlinear? = of them (4) – 2y = 2x – 3y u(4) – x³ y" – 2y' = 2x – 3y yt – x³y" – 2y = 2x – 3y

Q: 5x Differentiate y= (4x – 3)* * 4x + 1 y' = (4x – 3)5 -60x – 15 y' = (4x – 3)5 - 15x + 1 (4x – 3)5 |…

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Q: y” – 10y’ + 25y = 30x+3

A:

Q: 13. Find an equation of the curve that passes through the point (1, 1) and whose slope at any point…

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Q: Find a real general solution 5x^2 y"+23xy′+16.2y=0

A: Consider y=xm and solve using this substitution to obtain the required general solution.

Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

A:

Q: Given y = (x + 1)(x + 2)² Find: y O (z + 2)(3x – 4) O (2 – x)(3x – 4) - O (x – 2)(3x + 4) O (2 +…

A: Apply the product rule of differentiation f·g'=f'·g+f·g' to find the derivative of the given…

Q: Find y as a function of x if x²y" +5xy - 12y = x², y(1) = −9, y(1) = 9. y=

A: We have to find as a function of .

Q: Which of the following is the equation of a line tangent to the graph of f(x) = x* + 1 and parallel…

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Q: Obtain characteristics y² Uxx + Uyy = O

A: Given equation is  y2Uxx+Uyy=0 Now comparing with  AUxx+BUxy+CUyy=0 We have A=y2, B=0, C=1

Q: (х? + 2у — 10у3х) if z у? (у? + 4х + 5у) dz -, find || дх

A: Given:

Q: Find Cyy(x.y) if C(x.y) = 9x² + 5xy – 2y²+4x-4y-8. Cy (x.y) =D

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Q: Find a particular solution y'''-y''-4y'+8y=6xe^2x

A: y'''-y''-4y'+8y=6xe^2x Particular integral = 6xe2x 6xe2xD3-D2-4D+8By using property shift F(D) to…

Q: Find yy as a function of xx if y′′′−8y′′−y′+8y=0 y(0)=4,  y′(0)=−6,  y′′(0)=130.

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Q: (Зху — 4у — 1)dx + x(x — 2)dy 3D 0; when x — 1,у %3D 2

A: According to  given Bartley guidelines to solve only one question at a time if it is not mentioned…

Q: If r(y) = e³y² +3 find r'(y) =

A:

Q: 2x-1 3 + If y = Vx2 - x then y' = 3 3 x2-x FO

A: We have given y. We have to identify y' is true or not.

Q: Find y as a function of a if y(0) = 5, y(0) = 17, y"(0) = 5, y"(0) = 8. y(x) = y(4) — 6y" + 9y" =…

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Q: Solutions, if they exist, of equations of the form a,n (x)y(m) (x) + an-1(x)y(n-1)(x) + a1 (x)y'(x)…

A: Solution is in given below

Q: X 0 1 2 3 y 4 12 36 108 Write the equation for the exponential relation represented in the table of…

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Q: b) y(4) + y(3) – 7y(2) – y' + 6y = 0. c) y(4) – y(3) – 7y(2) + y' + 6y = 0.

A: Solve the given differential equation Here I am giving answer of 1 st problem if you want answer of…

Q: What is the special solution of the equation y0̅ ? y''' + 5y'' + 12y' + 8y =5sin2x +10x2 - 3x + 7

A: Find the attachment

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: 5 4х — 2 d Find dt - dx x² + 20 2 4t – 2 t2 + 20 2 – 16t - 16t2 + 20 16t – 8 ¢2 + 20 2 – 4t - t2 +…

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

A: Given that, (2x-3y+4)dx+(3x-2y+1)dy=0. The equation is of the form Mdx=Ndy Now take My,Nx,…

Q: [  y'''- y' = ex - 2x  ] Please find a particular solution yp for the above.

A: Particular Solution: Consider the equation Let be the differential operator Then equation (1) can…

Q: az Calcula y z = x4 – 2y3 O 8z 4x3 az -6y? O az 4x – 2y dz = 1* – 6y O dz = 4x3 az = 6y? O 8z 4x –…

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Q: 8. (a) For f(x) = Vx, give the linearization at a = 25. (b) Use your answer from part a to approxi-…

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Q: y"' – 3y" + 4y = 6+80cos(2x)

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Q: (iii) x' y" - x(2x – 1) y' + (x+1)y = 0

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Find a general solution of y"=(-2+2isqrt(3))y

A: Given that, the differential equation is- y''=-2+2i3y On simplifying, y''--2+2i3y=0

Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

A: