![]() ![]() You are buying a $250,000 house, with 10% down, on a 30-year mortgage ata fixed rate of 7.8%. You have a $18,000 car load at 14.25% per year for a period of 36 months.Every month you pay $620. ![]() In the examples below, the unknown is indicated with it's own name butyou can use any variable name.īased on the examples from Stan Brown, Oak Road Systems. In case of investments, Pmt is a negative value.įill in the known values in the indicated order and use any variable name for theunknown. If z is given, returns the nth Fibonacci polynomial of z.įinance(PV, FV, Pmt, i, n, )This is a simple financial function to calculate loan or investments. In the latter case, the text Implicit result is added to call the users attention thatthe result is not of the form y(t)=function(t).ĭSolve(y''(x)+2y'(x)+y(x)=x, y(x), )ĭSolve(R*q'(t)+q(t)/C=U*sin(t), q(t), no) In case y(t) cannot be represented in a simple form then the result is returned in implicit form.function(y, t) = 0 ResultsNormally, DSolve tries to return the result as y(t) = function(t). )Note: The variable to be solved should still be written as y(t). Of course, this can also be written as the following equation.DSolve(y'(t) = sin(t), y(t). Solve: y'' + 2y' + y = x with no initial valuesDSolve(y''(x) + 2y'(x) + y(x) = x, y(x), no)ĭifferent form for exact first order differential equations.Exact first order differential equation can be given with, ,, ect.įirst Order ExamplesSolve: dy = sin(t) * dtDSolve( = sin(t) *, y(t). The resultreturned contains the Constant įor first order differential equations the initial value can be given as y(t)=value.When you ommit y(t), then y(0) is assumed.įor higher order differential equations, the initial values should be given as a listand are always referred to zero : Įxamples with different initial valuesSolve: y' + y = sin(t) with y(0) = 5DSolve(y'(t) + y(t) = sin(t), y(t), y(0) = 5)orDSolve(y(t)' + y(t) = sin(t), y(t), 5) Initial valuesWhen no initial values are given, then simple write the word no. The upper case character I indicates the integral and is a mandatory condition. Integral Examples?(y) + y = sin(t)DSolve( I(y(t),t) + y(t) = sin(t), y(t). The definite integral of the variable is represented by I(f(t), t) and denotes theintegral of the variable f(t) with lower bound 0 and upper bound t. Derivative ExamplesSolve: y' + y = sin(t)DSolve(y'(t)+y(t)=sin(t), y(t). ![]()
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