Mathematics, 15.07.2019 23:20 nmorin603p3rhkg
Exercise 3. [15 pts] superposition principle for nth order linear, homogeneous ode we have done the n-d, 1st order linear, homogeneous ode in class. since nth order linear, homogeneous ode can always to rewritten into n-d, 1st order linear, homogeneous ode, we already know the principle holds. here we prove the principle from a dierent route: by direct using the linearity of dierentiation. (a) (3 pts) from the denition of derivative, df dt = lim h→0 f(t + h) − f(t) h , show the linearity of the dierentiation (assuming all derivatives exist), d dt (f + g) = df dt + dg dt (b) (5 pts) using the results in (a), argue that the same holds for the nth derivative (assuming the nth derivative of f and g both exist) d n dt n (f + g) = d nf dt n + d ng dt n
Answers: 3
Mathematics, 21.06.2019 15:20
Use the x-intercept method to find all real solutions of the equation. -9x^3-7x^2-96x+36=3x^3+x^2-3x+8
Answers: 1
Mathematics, 21.06.2019 19:30
1. find the area of the unshaded square 2. find the area of the large square 3. what is the area of the frame represented by the shaded region show
Answers: 1
Mathematics, 22.06.2019 00:30
The length of a rectangle plus its width is 24 cm. the area is 143 square cm. what are the length and width of the rectangle?
Answers: 1
Exercise 3. [15 pts] superposition principle for nth order linear, homogeneous ode we have done the...
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