y"+ 3y= 18x?c*, 6 yol=1, y'l0)=1 Find the solution Yo the initial value problen

Q: Let Find A-¹ and use it to solve where where x₁ = -24 and 2 -0 = A = 4 -3 4 4 AX = B B = (²3) X = -…

A: We see,        So, Determinant of A = |A| = 4×4 - (-3)×4                                        = 16…

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A: Given, Quadratic equation is  -2y = 3y2 - 1

Q: Find the solution. y'• ty ty" © y- (1-c, y- - (1-co")

A: We have to solve y'+ty=ty3 This can be written as: y'+ty=ty3⇒1y3y'+tyy3=t⇒1y3y'+ty2=t⇒1y3dydt+ty2=t…

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A:

Q: Show that (A+CBC")- = A- A'C(B'+C"A 'C) 'C" A',

A: Given: A and B are square matrices, C is a matrix of appropriate dimension. Note that…

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A: Given,y'+2xy=2x3This is the linear differential equation of the…

Q: 5) Solve y) - 3y4+3y" - 3y" +2y' = 0.

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A: To find the solution of X'=AX where, A=−210−50003−2X0=−2−12

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A: To solve the equation for x and y.

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Q: Solve for the general solution of the given DE: O y = (-6 + ce^(-x^2/4))^2 O y = (-6 +…

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A: Given: 1) ∫tan-1xdx2) ∫2x3+1x4+2x+1dx

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Q: If a field K is algebraically closed, then every polynomiel with co efficients in k has a root in K.…

A: A field K is said to be algebraically closed if every polynomial with coefficients in K has a root…

Q: solve 9'' + 9y = 0

A: