Find the least positive solution of (a) x^2 − 29y^2 = −1 (b)x^2 − 29y^2 =...

Find the least positive solution of (a) x^2 − 29y^2 = −1 (b)x^2 − 29y^2 = 1

Expert Solution

For solving and understanding this solution knowing the concept of continued fractions, convergent of a continued expansion are important.

Colby Messinger answered 2 years ago

y'(1+x^2)=(1/1-x)-3xy find the general solution.

Find the general solution of the linear system x ̇1 = x1, x ̇2 = ax2...

Find the general solution of the linear system x ̇1 = x1, x ̇2 = ax2 Where a is a constant. Draw the phase planes for a = −1, 0, 1. Comment on the changes of the phase plane

.1. a.) By inspection, find a particular solution of 2?′′ − 5? = 13 b.) By...

.1. a.) By inspection, find a particular solution of 2?′′ − 5? = 13 b.) By inspection, find a particular solution of 2?′′−5?= −27? c.) Find a particular solution of 2?′′−5?= −27?+13 d.) Find a particular solution of 19,378.47?′′+35? = 6−56?

(b)For the following IVP, find the solution for x>0, . y'''=1+3x2-4x3+9√x .&

(b)For the following IVP, find the solution for x>0, . y'''=1+3x2-4x3+9√x . y1=8 y'1=9 y''1=10 (c) Test for exactness and solve the IVP, (x+5exy)dx=-exdy y0=-2

1)Find the power series solution for the equation y'' − y = x 2)Find the power...

1)Find the power series solution for the equation y'' − y = x 2)Find the power series solution for the equation y'' + (sinx)y = x; y(0) = 0; y'(0) = 1 Provide the recurrence relation for the coefficients and derive at least 3 non-zero terms of the solution.

Let f(x,y)= (3/2)(x^2+y^2 ) in 0≤x≤1, 0≤y≤1. (a) Find V(X) (b) Find V(Y)

Consider the function f(x) =x/x^2+1 (a) Find all values ofxfor which f(x) is positive or negative....

Consider the function f(x) =x/x^2+1 (a) Find all values ofxfor which f(x) is positive or negative. Discuss the behaviour of f(x) as x gets very large (in both the positive and negative direction). (b) Draw a sign diagram clearly showing the values of x for which f(x) is increasing and decreasing. Hence find the critical points off(x) and determine their nature. (c) Draw a sign diagram clearly showing the values of x for which f(x) is concave up and concave...

Consider the function f(x) =x/x^2+1 (a) Find all values ofxfor which f(x) is positive or negative....

Consider the function f(x) =x/x^2+1 (a) Find all values ofxfor which f(x) is positive or negative. Discuss the behaviour of f(x) as x gets very large (in both the positive and negative direction). (b) Draw a sign diagram clearly showing the values of x for which f(x) is increasing and decreasing. Hence find the critical points off(x) and determine their nature. (c) Draw a sign diagram clearly showing the values of x for which f(x) is concave up and concave...

. Find the general solution to the ODE: x^2 y" + 5xy' + 3y = x^2

B= {1,x,x^2} B’={1-x^2, x-x^2, 1+2x-x^2} T(a+bx+cx^2) = 3a+b+c+(2a+4b+2c)x + (-a-b+c)x^2 a) by direct calculation , compute...

B= {1,x,x^2} B’={1-x^2, x-x^2, 1+2x-x^2} T(a+bx+cx^2) = 3a+b+c+(2a+4b+2c)x + (-a-b+c)x^2 a) by direct calculation , compute [P]_B’ , p=7-x+2x^2 b) using basis B={1,x,x^2} , compute [T]_B c_ compute [T]_B’

Question

Find the least positive solution of (a) x^2 − 29y^2 = −1 (b)x^2 − 29y^2 =...

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Expert Solution

Related Solutions

y'(1+x^2)=(1/1-x)-3xy find the general solution.

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