Solving Differential Equations Symbolically and Numerically

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given this equation end two initial values, how can i solve it symbolically, i know how to solve the first one but im stuck with x'(0)=1
syms x(t)
eqn = diff(diff(x))+5*diff(x)+4*x== 3-2*t-t.^2;
cond1= x(0)==1;
dsolve(eqn, cond1)
what sould i write to sole for x'(0)=1 ??

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Torsten
Torsten il 15 Apr 2022
Did you read the part
"Solve Differential Equations with conditions"
under
?

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