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Solving Difference Equation and Differential Equation
o dy/dt + 2y(t) = 2x(t); x(t) = u(t), y(0) = −1 Please check attachment The solution gives detailed steps on solving difference equation, solving differential equation and simplifying complex exponential in polar and rectangular form.
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Solving Complex Equations
114329 Mathematics: Solving Complex Equations Please see the attached file for the fully formatted problems. Please see the attached file for the complete solution.
Thanks for using BrainMass. Complex equations are solved in the following posting.
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Rational expressions and quadratic formula
Problems in this set involve multiplying fractions, solving equations involving fractions and polynomials, solving word problems involving equations and polynomials, quadratic formula, interest, simplifying fractions, and simplifying a complex formula
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Methods for Solving Quadratic Equations
where the values do not change quickly, equations without complex roots
Quadratic formula
Pros - accurate, works for complex numbers as well as real numbers
Cons - can be complicated mathematically
Appropriate for - all types of equations
Completing
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Solving Systems of Equations with Complex Numbers
111988 Solving Systems of Equations with Complex Numbers ( Cramer's Rule ) Showing all working, solve the following pair of simultaneous equations for i1 and i2, expressing the answers to exact whole numbers:
(3 - j4)i1 + (8 - j7)i2 = 40 - j38
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Voltage in complex forms
75229 Voltage in complex forms An engine consumes 10kw of power and 4kvar reactive power at a current of (6+j4)Amps . Find the applied voltage in complex form using P=Re(VI) and Q=Im(VI) as simultaneous equations.
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Algebra Basics, Equations, and Mathematical Models
The character of the eigenvalues, whether real or
complex, is important in the analysis of such systems. In everyday use, industrial and university computers spend some fraction of their time solving polynomial equations.
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System of linear equations
You have found out the best way to ensure the best outcome for your customer is through the use of systems of equations. After reading up on systems of equations, you have found out how powerful they can be for solving complex business problems.
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Mathematics - Algebra
You have found out the best way to ensure the best outcome for your customer is through the use of systems of equations. After reading up on systems of equations, you have found out how powerful they can be for solving complex business problems.
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Electrical networks
Solving them we get, a = 846, b = 1231
Hence V = (0.846+j1.231) kV This solution finds the applied voltage in complex form of an engine, then forms two simultaneous equations.